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Finding the Fourth Proportional to 1,105.74, 1,656.99 and 862.74

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Solution

The fourth proportional to 1,105.74, 1,656.99 and 862.74 is: 1,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.74 : 1,656.99 = 862.74 : x
  2. Step 2: Convert to fraction form
    1,105.74/1,656.99 = 862.74/x
  3. Step 3: Cross multiply
    1,105.74x = 1,656.99 × 862.74
  4. Step 4: Simplify right side
    1,105.74x = 1,429,551.55
  5. Step 5: Solve for x
    x = 1,429,551.55/1,105.74
  6. Step 6: Final answer
    x = 1,292.85

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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.