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Finding the Fourth Proportional to 1,102.54, 1,651.56 and 615.85

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Solution

The fourth proportional to 1,102.54, 1,651.56 and 615.85 is: 922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.54 : 1,651.56 = 615.85 : x
  2. Step 2: Convert to fraction form
    1,102.54/1,651.56 = 615.85/x
  3. Step 3: Cross multiply
    1,102.54x = 1,651.56 × 615.85
  4. Step 4: Simplify right side
    1,102.54x = 1,017,113.23
  5. Step 5: Solve for x
    x = 1,017,113.23/1,102.54
  6. Step 6: Final answer
    x = 922.52

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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.