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Finding the Fourth Proportional to 987.61, 1,480.90 and 493.48

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Solution

The fourth proportional to 987.61, 1,480.90 and 493.48 is: 739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.61 : 1,480.90 = 493.48 : x
  2. Step 2: Convert to fraction form
    987.61/1,480.90 = 493.48/x
  3. Step 3: Cross multiply
    987.61x = 1,480.90 × 493.48
  4. Step 4: Simplify right side
    987.61x = 730,794.53
  5. Step 5: Solve for x
    x = 730,794.53/987.61
  6. Step 6: Final answer
    x = 739.96

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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.