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Finding the Fourth Proportional to 987.23, 1,473.20 and 878.15

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Solution

The fourth proportional to 987.23, 1,473.20 and 878.15 is: 1,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.23 : 1,473.20 = 878.15 : x
  2. Step 2: Convert to fraction form
    987.23/1,473.20 = 878.15/x
  3. Step 3: Cross multiply
    987.23x = 1,473.20 × 878.15
  4. Step 4: Simplify right side
    987.23x = 1,293,690.58
  5. Step 5: Solve for x
    x = 1,293,690.58/987.23
  6. Step 6: Final answer
    x = 1,310.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.