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Finding the Fourth Proportional to 987.14, 1,480.50 and 466.92

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Solution

The fourth proportional to 987.14, 1,480.50 and 466.92 is: 700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.14 : 1,480.50 = 466.92 : x
  2. Step 2: Convert to fraction form
    987.14/1,480.50 = 466.92/x
  3. Step 3: Cross multiply
    987.14x = 1,480.50 × 466.92
  4. Step 4: Simplify right side
    987.14x = 691,275.06
  5. Step 5: Solve for x
    x = 691,275.06/987.14
  6. Step 6: Final answer
    x = 700.28

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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.