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Finding the Fourth Proportional to 1,102.86, 1,653.08 and 737.15

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Solution

The fourth proportional to 1,102.86, 1,653.08 and 737.15 is: 1,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.86 : 1,653.08 = 737.15 : x
  2. Step 2: Convert to fraction form
    1,102.86/1,653.08 = 737.15/x
  3. Step 3: Cross multiply
    1,102.86x = 1,653.08 × 737.15
  4. Step 4: Simplify right side
    1,102.86x = 1,218,555.97
  5. Step 5: Solve for x
    x = 1,218,555.97/1,102.86
  6. Step 6: Final answer
    x = 1,104.91

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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.