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Finding the Fourth Proportional to 602.87, 832.32 and 462.74

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Solution

The fourth proportional to 602.87, 832.32 and 462.74 is: 638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.87 : 832.32 = 462.74 : x
  2. Step 2: Convert to fraction form
    602.87/832.32 = 462.74/x
  3. Step 3: Cross multiply
    602.87x = 832.32 × 462.74
  4. Step 4: Simplify right side
    602.87x = 385,143.60
  5. Step 5: Solve for x
    x = 385,143.60/602.87
  6. Step 6: Final answer
    x = 638.86

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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.