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Finding the Fourth Proportional to 1,129.16, 1,557.88 and 686.96

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Solution

The fourth proportional to 1,129.16, 1,557.88 and 686.96 is: 947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.16 : 1,557.88 = 686.96 : x
  2. Step 2: Convert to fraction form
    1,129.16/1,557.88 = 686.96/x
  3. Step 3: Cross multiply
    1,129.16x = 1,557.88 × 686.96
  4. Step 4: Simplify right side
    1,129.16x = 1,070,201.24
  5. Step 5: Solve for x
    x = 1,070,201.24/1,129.16
  6. Step 6: Final answer
    x = 947.79

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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.