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Finding the Fourth Proportional to 691.92, 1,032.84 and 640.53

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Solution

The fourth proportional to 691.92, 1,032.84 and 640.53 is: 956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.92 : 1,032.84 = 640.53 : x
  2. Step 2: Convert to fraction form
    691.92/1,032.84 = 640.53/x
  3. Step 3: Cross multiply
    691.92x = 1,032.84 × 640.53
  4. Step 4: Simplify right side
    691.92x = 661,565.01
  5. Step 5: Solve for x
    x = 661,565.01/691.92
  6. Step 6: Final answer
    x = 956.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.