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Finding the Fourth Proportional to 987.05, 1,481.29 and 438.95

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Solution

The fourth proportional to 987.05, 1,481.29 and 438.95 is: 658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.05 : 1,481.29 = 438.95 : x
  2. Step 2: Convert to fraction form
    987.05/1,481.29 = 438.95/x
  3. Step 3: Cross multiply
    987.05x = 1,481.29 × 438.95
  4. Step 4: Simplify right side
    987.05x = 650,214.85
  5. Step 5: Solve for x
    x = 650,214.85/987.05
  6. Step 6: Final answer
    x = 658.74

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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.