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Finding the Fourth Proportional to 602.32, 831.24 and 418

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Solution

The fourth proportional to 602.32, 831.24 and 418 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.32 : 831.24 = 418 : x
  2. Step 2: Convert to fraction form
    602.32/831.24 = 418/x
  3. Step 3: Cross multiply
    602.32x = 831.24 × 418
  4. Step 4: Simplify right side
    602.32x = 347,458.32
  5. Step 5: Solve for x
    x = 347,458.32/602.32
  6. Step 6: Final answer
    x = 576.87

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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.