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Finding the Fourth Proportional to 1,102.38, 1,650.06 and 613.95

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Solution

The fourth proportional to 1,102.38, 1,650.06 and 613.95 is: 918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.38 : 1,650.06 = 613.95 : x
  2. Step 2: Convert to fraction form
    1,102.38/1,650.06 = 613.95/x
  3. Step 3: Cross multiply
    1,102.38x = 1,650.06 × 613.95
  4. Step 4: Simplify right side
    1,102.38x = 1,013,054.34
  5. Step 5: Solve for x
    x = 1,013,054.34/1,102.38
  6. Step 6: Final answer
    x = 918.97

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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.