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Finding the Fourth Proportional to 1,377.57, 2,066.12 and 499.91

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Solution

The fourth proportional to 1,377.57, 2,066.12 and 499.91 is: 749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.57 : 2,066.12 = 499.91 : x
  2. Step 2: Convert to fraction form
    1,377.57/2,066.12 = 499.91/x
  3. Step 3: Cross multiply
    1,377.57x = 2,066.12 × 499.91
  4. Step 4: Simplify right side
    1,377.57x = 1,032,874.05
  5. Step 5: Solve for x
    x = 1,032,874.05/1,377.57
  6. Step 6: Final answer
    x = 749.78

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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.