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Finding the Fourth Proportional to 499.47, 749.55 and 377.97

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Solution

The fourth proportional to 499.47, 749.55 and 377.97 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 749.55 = 377.97 : x
  2. Step 2: Convert to fraction form
    499.47/749.55 = 377.97/x
  3. Step 3: Cross multiply
    499.47x = 749.55 × 377.97
  4. Step 4: Simplify right side
    499.47x = 283,306.02
  5. Step 5: Solve for x
    x = 283,306.02/499.47
  6. Step 6: Final answer
    x = 567.22

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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.