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Finding the Fourth Proportional to 987.39, 1,480.82 and 293.87

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Solution

The fourth proportional to 987.39, 1,480.82 and 293.87 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.39 : 1,480.82 = 293.87 : x
  2. Step 2: Convert to fraction form
    987.39/1,480.82 = 293.87/x
  3. Step 3: Cross multiply
    987.39x = 1,480.82 × 293.87
  4. Step 4: Simplify right side
    987.39x = 435,168.57
  5. Step 5: Solve for x
    x = 435,168.57/987.39
  6. Step 6: Final answer
    x = 440.73

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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.