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Finding the Fourth Proportional to 1,127.48, 1,554.07 and 754.33

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Solution

The fourth proportional to 1,127.48, 1,554.07 and 754.33 is: 1,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.48 : 1,554.07 = 754.33 : x
  2. Step 2: Convert to fraction form
    1,127.48/1,554.07 = 754.33/x
  3. Step 3: Cross multiply
    1,127.48x = 1,554.07 × 754.33
  4. Step 4: Simplify right side
    1,127.48x = 1,172,275.85
  5. Step 5: Solve for x
    x = 1,172,275.85/1,127.48
  6. Step 6: Final answer
    x = 1,039.73

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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.