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Finding the Fourth Proportional to 1,001.67, 1,502.08 and 481.55

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Solution

The fourth proportional to 1,001.67, 1,502.08 and 481.55 is: 722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.67 : 1,502.08 = 481.55 : x
  2. Step 2: Convert to fraction form
    1,001.67/1,502.08 = 481.55/x
  3. Step 3: Cross multiply
    1,001.67x = 1,502.08 × 481.55
  4. Step 4: Simplify right side
    1,001.67x = 723,319.72
  5. Step 5: Solve for x
    x = 723,319.72/1,001.67
  6. Step 6: Final answer
    x = 722.12

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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.