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Finding the Fourth Proportional to 463.92, 693.09 and 410.40

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Solution

The fourth proportional to 463.92, 693.09 and 410.40 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 693.09 = 410.40 : x
  2. Step 2: Convert to fraction form
    463.92/693.09 = 410.40/x
  3. Step 3: Cross multiply
    463.92x = 693.09 × 410.40
  4. Step 4: Simplify right side
    463.92x = 284,444.14
  5. Step 5: Solve for x
    x = 284,444.14/463.92
  6. Step 6: Final answer
    x = 613.13

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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.