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Finding the Fourth Proportional to 500.53, 752.41 and 498.10

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Solution

The fourth proportional to 500.53, 752.41 and 498.10 is: 748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.53 : 752.41 = 498.10 : x
  2. Step 2: Convert to fraction form
    500.53/752.41 = 498.10/x
  3. Step 3: Cross multiply
    500.53x = 752.41 × 498.10
  4. Step 4: Simplify right side
    500.53x = 374,775.42
  5. Step 5: Solve for x
    x = 374,775.42/500.53
  6. Step 6: Final answer
    x = 748.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.