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Finding the Fourth Proportional to 987.88, 1,357.17 and 884.32

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Solution

The fourth proportional to 987.88, 1,357.17 and 884.32 is: 1,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.88 : 1,357.17 = 884.32 : x
  2. Step 2: Convert to fraction form
    987.88/1,357.17 = 884.32/x
  3. Step 3: Cross multiply
    987.88x = 1,357.17 × 884.32
  4. Step 4: Simplify right side
    987.88x = 1,200,172.57
  5. Step 5: Solve for x
    x = 1,200,172.57/987.88
  6. Step 6: Final answer
    x = 1,214.90

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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.