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Finding the Fourth Proportional to 1,102.60, 1,650.72 and 829.96

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Solution

The fourth proportional to 1,102.60, 1,650.72 and 829.96 is: 1,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.60 : 1,650.72 = 829.96 : x
  2. Step 2: Convert to fraction form
    1,102.60/1,650.72 = 829.96/x
  3. Step 3: Cross multiply
    1,102.60x = 1,650.72 × 829.96
  4. Step 4: Simplify right side
    1,102.60x = 1,370,031.57
  5. Step 5: Solve for x
    x = 1,370,031.57/1,102.60
  6. Step 6: Final answer
    x = 1,242.55

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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.