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Finding the Fourth Proportional to 1,003.91, 1,505.72 and 387.90

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Solution

The fourth proportional to 1,003.91, 1,505.72 and 387.90 is: 581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.91 : 1,505.72 = 387.90 : x
  2. Step 2: Convert to fraction form
    1,003.91/1,505.72 = 387.90/x
  3. Step 3: Cross multiply
    1,003.91x = 1,505.72 × 387.90
  4. Step 4: Simplify right side
    1,003.91x = 584,066.85
  5. Step 5: Solve for x
    x = 584,066.85/1,003.91
  6. Step 6: Final answer
    x = 581.79

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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.