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Finding the Fourth Proportional to 1,062.25, 1,592.78 and 844.27

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Solution

The fourth proportional to 1,062.25, 1,592.78 and 844.27 is: 1,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.25 : 1,592.78 = 844.27 : x
  2. Step 2: Convert to fraction form
    1,062.25/1,592.78 = 844.27/x
  3. Step 3: Cross multiply
    1,062.25x = 1,592.78 × 844.27
  4. Step 4: Simplify right side
    1,062.25x = 1,344,728.17
  5. Step 5: Solve for x
    x = 1,344,728.17/1,062.25
  6. Step 6: Final answer
    x = 1,265.93

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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.