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Finding the Fourth Proportional to 1,233.73, 1,702.86 and 702.91

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Solution

The fourth proportional to 1,233.73, 1,702.86 and 702.91 is: 970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.73 : 1,702.86 = 702.91 : x
  2. Step 2: Convert to fraction form
    1,233.73/1,702.86 = 702.91/x
  3. Step 3: Cross multiply
    1,233.73x = 1,702.86 × 702.91
  4. Step 4: Simplify right side
    1,233.73x = 1,196,962.75
  5. Step 5: Solve for x
    x = 1,196,962.75/1,233.73
  6. Step 6: Final answer
    x = 970.20

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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.