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Finding the Fourth Proportional to 1,001.03, 1,507.39 and 742.85

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Solution

The fourth proportional to 1,001.03, 1,507.39 and 742.85 is: 1,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.03 : 1,507.39 = 742.85 : x
  2. Step 2: Convert to fraction form
    1,001.03/1,507.39 = 742.85/x
  3. Step 3: Cross multiply
    1,001.03x = 1,507.39 × 742.85
  4. Step 4: Simplify right side
    1,001.03x = 1,119,764.66
  5. Step 5: Solve for x
    x = 1,119,764.66/1,001.03
  6. Step 6: Final answer
    x = 1,118.61

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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.