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Finding the Fourth Proportional to 602.54, 831.16 and 381.11

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Solution

The fourth proportional to 602.54, 831.16 and 381.11 is: 525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.54 : 831.16 = 381.11 : x
  2. Step 2: Convert to fraction form
    602.54/831.16 = 381.11/x
  3. Step 3: Cross multiply
    602.54x = 831.16 × 381.11
  4. Step 4: Simplify right side
    602.54x = 316,759.71
  5. Step 5: Solve for x
    x = 316,759.71/602.54
  6. Step 6: Final answer
    x = 525.71

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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.