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Finding the Fourth Proportional to 498.53, 744.15 and 462.39

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Solution

The fourth proportional to 498.53, 744.15 and 462.39 is: 690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 744.15 = 462.39 : x
  2. Step 2: Convert to fraction form
    498.53/744.15 = 462.39/x
  3. Step 3: Cross multiply
    498.53x = 744.15 × 462.39
  4. Step 4: Simplify right side
    498.53x = 344,085.21
  5. Step 5: Solve for x
    x = 344,085.21/498.53
  6. Step 6: Final answer
    x = 690.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.