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Finding the Fourth Proportional to 1,102.08, 1,650.42 and 615.18

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Solution

The fourth proportional to 1,102.08, 1,650.42 and 615.18 is: 921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.08 : 1,650.42 = 615.18 : x
  2. Step 2: Convert to fraction form
    1,102.08/1,650.42 = 615.18/x
  3. Step 3: Cross multiply
    1,102.08x = 1,650.42 × 615.18
  4. Step 4: Simplify right side
    1,102.08x = 1,015,305.38
  5. Step 5: Solve for x
    x = 1,015,305.38/1,102.08
  6. Step 6: Final answer
    x = 921.26

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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.