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Finding the Fourth Proportional to 987.11, 1,360.76 and 654.96

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Solution

The fourth proportional to 987.11, 1,360.76 and 654.96 is: 902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.11 : 1,360.76 = 654.96 : x
  2. Step 2: Convert to fraction form
    987.11/1,360.76 = 654.96/x
  3. Step 3: Cross multiply
    987.11x = 1,360.76 × 654.96
  4. Step 4: Simplify right side
    987.11x = 891,240.09
  5. Step 5: Solve for x
    x = 891,240.09/987.11
  6. Step 6: Final answer
    x = 902.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.