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Finding the Fourth Proportional to 987.09, 1,481.54 and 500.47

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Solution

The fourth proportional to 987.09, 1,481.54 and 500.47 is: 751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.09 : 1,481.54 = 500.47 : x
  2. Step 2: Convert to fraction form
    987.09/1,481.54 = 500.47/x
  3. Step 3: Cross multiply
    987.09x = 1,481.54 × 500.47
  4. Step 4: Simplify right side
    987.09x = 741,466.32
  5. Step 5: Solve for x
    x = 741,466.32/987.09
  6. Step 6: Final answer
    x = 751.16

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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.