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Finding the Fourth Proportional to 1,120.32, 1,677.60 and 686.16

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Solution

The fourth proportional to 1,120.32, 1,677.60 and 686.16 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.32 : 1,677.60 = 686.16 : x
  2. Step 2: Convert to fraction form
    1,120.32/1,677.60 = 686.16/x
  3. Step 3: Cross multiply
    1,120.32x = 1,677.60 × 686.16
  4. Step 4: Simplify right side
    1,120.32x = 1,151,102.02
  5. Step 5: Solve for x
    x = 1,151,102.02/1,120.32
  6. Step 6: Final answer
    x = 1,027.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.