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Finding the Fourth Proportional to 1,103.17, 1,652.64 and 685.46

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Solution

The fourth proportional to 1,103.17, 1,652.64 and 685.46 is: 1,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.17 : 1,652.64 = 685.46 : x
  2. Step 2: Convert to fraction form
    1,103.17/1,652.64 = 685.46/x
  3. Step 3: Cross multiply
    1,103.17x = 1,652.64 × 685.46
  4. Step 4: Simplify right side
    1,103.17x = 1,132,818.61
  5. Step 5: Solve for x
    x = 1,132,818.61/1,103.17
  6. Step 6: Final answer
    x = 1,026.88

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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.