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Finding the Fourth Proportional to 975.36, 1,462.59 and 553.17

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Solution

The fourth proportional to 975.36, 1,462.59 and 553.17 is: 829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.36 : 1,462.59 = 553.17 : x
  2. Step 2: Convert to fraction form
    975.36/1,462.59 = 553.17/x
  3. Step 3: Cross multiply
    975.36x = 1,462.59 × 553.17
  4. Step 4: Simplify right side
    975.36x = 809,060.91
  5. Step 5: Solve for x
    x = 809,060.91/975.36
  6. Step 6: Final answer
    x = 829.50

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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.