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Finding the Fourth Proportional to 1,233.29, 1,702.42 and 840.85

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Solution

The fourth proportional to 1,233.29, 1,702.42 and 840.85 is: 1,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.29 : 1,702.42 = 840.85 : x
  2. Step 2: Convert to fraction form
    1,233.29/1,702.42 = 840.85/x
  3. Step 3: Cross multiply
    1,233.29x = 1,702.42 × 840.85
  4. Step 4: Simplify right side
    1,233.29x = 1,431,473.50
  5. Step 5: Solve for x
    x = 1,431,473.50/1,233.29
  6. Step 6: Final answer
    x = 1,160.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.