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Finding the Fourth Proportional to 987.78, 1,480.90 and 467.52

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Solution

The fourth proportional to 987.78, 1,480.90 and 467.52 is: 700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.78 : 1,480.90 = 467.52 : x
  2. Step 2: Convert to fraction form
    987.78/1,480.90 = 467.52/x
  3. Step 3: Cross multiply
    987.78x = 1,480.90 × 467.52
  4. Step 4: Simplify right side
    987.78x = 692,350.37
  5. Step 5: Solve for x
    x = 692,350.37/987.78
  6. Step 6: Final answer
    x = 700.92

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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.