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Finding the Fourth Proportional to 987.10, 1,480.20 and 293.52

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Solution

The fourth proportional to 987.10, 1,480.20 and 293.52 is: 440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.10 : 1,480.20 = 293.52 : x
  2. Step 2: Convert to fraction form
    987.10/1,480.20 = 293.52/x
  3. Step 3: Cross multiply
    987.10x = 1,480.20 × 293.52
  4. Step 4: Simplify right side
    987.10x = 434,468.30
  5. Step 5: Solve for x
    x = 434,468.30/987.10
  6. Step 6: Final answer
    x = 440.15

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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.