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Finding the Fourth Proportional to 1,122.55, 1,548.69 and 702.73

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Solution

The fourth proportional to 1,122.55, 1,548.69 and 702.73 is: 969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.55 : 1,548.69 = 702.73 : x
  2. Step 2: Convert to fraction form
    1,122.55/1,548.69 = 702.73/x
  3. Step 3: Cross multiply
    1,122.55x = 1,548.69 × 702.73
  4. Step 4: Simplify right side
    1,122.55x = 1,088,310.92
  5. Step 5: Solve for x
    x = 1,088,310.92/1,122.55
  6. Step 6: Final answer
    x = 969.50

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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.