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Finding the Fourth Proportional to 1,108.55, 1,530.44 and 736.04

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Solution

The fourth proportional to 1,108.55, 1,530.44 and 736.04 is: 1,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.55 : 1,530.44 = 736.04 : x
  2. Step 2: Convert to fraction form
    1,108.55/1,530.44 = 736.04/x
  3. Step 3: Cross multiply
    1,108.55x = 1,530.44 × 736.04
  4. Step 4: Simplify right side
    1,108.55x = 1,126,453.73
  5. Step 5: Solve for x
    x = 1,126,453.73/1,108.55
  6. Step 6: Final answer
    x = 1,016.16

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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.