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Finding the Fourth Proportional to 1,233.40, 1,702.65 and 813.97

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Solution

The fourth proportional to 1,233.40, 1,702.65 and 813.97 is: 1,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.40 : 1,702.65 = 813.97 : x
  2. Step 2: Convert to fraction form
    1,233.40/1,702.65 = 813.97/x
  3. Step 3: Cross multiply
    1,233.40x = 1,702.65 × 813.97
  4. Step 4: Simplify right side
    1,233.40x = 1,385,906.02
  5. Step 5: Solve for x
    x = 1,385,906.02/1,233.40
  6. Step 6: Final answer
    x = 1,123.65

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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.