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Finding the Fourth Proportional to 987.92, 1,479.65 and 766.78

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Solution

The fourth proportional to 987.92, 1,479.65 and 766.78 is: 1,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.92 : 1,479.65 = 766.78 : x
  2. Step 2: Convert to fraction form
    987.92/1,479.65 = 766.78/x
  3. Step 3: Cross multiply
    987.92x = 1,479.65 × 766.78
  4. Step 4: Simplify right side
    987.92x = 1,134,558.49
  5. Step 5: Solve for x
    x = 1,134,558.49/987.92
  6. Step 6: Final answer
    x = 1,148.44

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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.