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Finding the Fourth Proportional to 602.20, 831.50 and 462.09

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Solution

The fourth proportional to 602.20, 831.50 and 462.09 is: 638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 831.50 = 462.09 : x
  2. Step 2: Convert to fraction form
    602.20/831.50 = 462.09/x
  3. Step 3: Cross multiply
    602.20x = 831.50 × 462.09
  4. Step 4: Simplify right side
    602.20x = 384,227.84
  5. Step 5: Solve for x
    x = 384,227.84/602.20
  6. Step 6: Final answer
    x = 638.04

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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.