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Finding the Fourth Proportional to 987.13, 1,356.14 and 883.57

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Solution

The fourth proportional to 987.13, 1,356.14 and 883.57 is: 1,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.13 : 1,356.14 = 883.57 : x
  2. Step 2: Convert to fraction form
    987.13/1,356.14 = 883.57/x
  3. Step 3: Cross multiply
    987.13x = 1,356.14 × 883.57
  4. Step 4: Simplify right side
    987.13x = 1,198,244.62
  5. Step 5: Solve for x
    x = 1,198,244.62/987.13
  6. Step 6: Final answer
    x = 1,213.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.