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Finding the Fourth Proportional to 1,315.80, 1,972.62 and 657.36

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Solution

The fourth proportional to 1,315.80, 1,972.62 and 657.36 is: 985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.80 : 1,972.62 = 657.36 : x
  2. Step 2: Convert to fraction form
    1,315.80/1,972.62 = 657.36/x
  3. Step 3: Cross multiply
    1,315.80x = 1,972.62 × 657.36
  4. Step 4: Simplify right side
    1,315.80x = 1,296,721.48
  5. Step 5: Solve for x
    x = 1,296,721.48/1,315.80
  6. Step 6: Final answer
    x = 985.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.