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Finding the Fourth Proportional to 987.97, 1,481.35 and 467.65

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Solution

The fourth proportional to 987.97, 1,481.35 and 467.65 is: 701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.97 : 1,481.35 = 467.65 : x
  2. Step 2: Convert to fraction form
    987.97/1,481.35 = 467.65/x
  3. Step 3: Cross multiply
    987.97x = 1,481.35 × 467.65
  4. Step 4: Simplify right side
    987.97x = 692,753.33
  5. Step 5: Solve for x
    x = 692,753.33/987.97
  6. Step 6: Final answer
    x = 701.19

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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.