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Finding the Fourth Proportional to 602.97, 831.59 and 463.43

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Solution

The fourth proportional to 602.97, 831.59 and 463.43 is: 639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 831.59 = 463.43 : x
  2. Step 2: Convert to fraction form
    602.97/831.59 = 463.43/x
  3. Step 3: Cross multiply
    602.97x = 831.59 × 463.43
  4. Step 4: Simplify right side
    602.97x = 385,377.28
  5. Step 5: Solve for x
    x = 385,377.28/602.97
  6. Step 6: Final answer
    x = 639.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.