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Finding the Fourth Proportional to 500.48, 754.58 and 497.36

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Solution

The fourth proportional to 500.48, 754.58 and 497.36 is: 749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.48 : 754.58 = 497.36 : x
  2. Step 2: Convert to fraction form
    500.48/754.58 = 497.36/x
  3. Step 3: Cross multiply
    500.48x = 754.58 × 497.36
  4. Step 4: Simplify right side
    500.48x = 375,297.91
  5. Step 5: Solve for x
    x = 375,297.91/500.48
  6. Step 6: Final answer
    x = 749.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.