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Finding the Fourth Proportional to 1,127.74, 1,555.74 and 729.29

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Solution

The fourth proportional to 1,127.74, 1,555.74 and 729.29 is: 1,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.74 : 1,555.74 = 729.29 : x
  2. Step 2: Convert to fraction form
    1,127.74/1,555.74 = 729.29/x
  3. Step 3: Cross multiply
    1,127.74x = 1,555.74 × 729.29
  4. Step 4: Simplify right side
    1,127.74x = 1,134,585.62
  5. Step 5: Solve for x
    x = 1,134,585.62/1,127.74
  6. Step 6: Final answer
    x = 1,006.07

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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.