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Finding the Fourth Proportional to 1,109.23, 1,531.10 and 756.88

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Solution

The fourth proportional to 1,109.23, 1,531.10 and 756.88 is: 1,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.23 : 1,531.10 = 756.88 : x
  2. Step 2: Convert to fraction form
    1,109.23/1,531.10 = 756.88/x
  3. Step 3: Cross multiply
    1,109.23x = 1,531.10 × 756.88
  4. Step 4: Simplify right side
    1,109.23x = 1,158,858.97
  5. Step 5: Solve for x
    x = 1,158,858.97/1,109.23
  6. Step 6: Final answer
    x = 1,044.74

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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.