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Finding the Fourth Proportional to 1,127.70, 1,557.87 and 754.56

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Solution

The fourth proportional to 1,127.70, 1,557.87 and 754.56 is: 1,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.70 : 1,557.87 = 754.56 : x
  2. Step 2: Convert to fraction form
    1,127.70/1,557.87 = 754.56/x
  3. Step 3: Cross multiply
    1,127.70x = 1,557.87 × 754.56
  4. Step 4: Simplify right side
    1,127.70x = 1,175,506.39
  5. Step 5: Solve for x
    x = 1,175,506.39/1,127.70
  6. Step 6: Final answer
    x = 1,042.39

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1.5x scale

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.