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Finding the Fourth Proportional to 1,109.43, 1,530.48 and 736.29

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Solution

The fourth proportional to 1,109.43, 1,530.48 and 736.29 is: 1,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.43 : 1,530.48 = 736.29 : x
  2. Step 2: Convert to fraction form
    1,109.43/1,530.48 = 736.29/x
  3. Step 3: Cross multiply
    1,109.43x = 1,530.48 × 736.29
  4. Step 4: Simplify right side
    1,109.43x = 1,126,877.12
  5. Step 5: Solve for x
    x = 1,126,877.12/1,109.43
  6. Step 6: Final answer
    x = 1,015.73

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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.