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Finding the Fourth Proportional to 1,125.73, 1,687.56 and 760.63

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Solution

The fourth proportional to 1,125.73, 1,687.56 and 760.63 is: 1,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.73 : 1,687.56 = 760.63 : x
  2. Step 2: Convert to fraction form
    1,125.73/1,687.56 = 760.63/x
  3. Step 3: Cross multiply
    1,125.73x = 1,687.56 × 760.63
  4. Step 4: Simplify right side
    1,125.73x = 1,283,608.76
  5. Step 5: Solve for x
    x = 1,283,608.76/1,125.73
  6. Step 6: Final answer
    x = 1,140.25

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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.