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Finding the Fourth Proportional to 1,973.16, 2,960.16 and 657.31

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Solution

The fourth proportional to 1,973.16, 2,960.16 and 657.31 is: 986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.16 : 2,960.16 = 657.31 : x
  2. Step 2: Convert to fraction form
    1,973.16/2,960.16 = 657.31/x
  3. Step 3: Cross multiply
    1,973.16x = 2,960.16 × 657.31
  4. Step 4: Simplify right side
    1,973.16x = 1,945,742.77
  5. Step 5: Solve for x
    x = 1,945,742.77/1,973.16
  6. Step 6: Final answer
    x = 986.10

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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.