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Finding the Fourth Proportional to 1,090.27, 1,505.11 and 742.78

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Solution

The fourth proportional to 1,090.27, 1,505.11 and 742.78 is: 1,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.27 : 1,505.11 = 742.78 : x
  2. Step 2: Convert to fraction form
    1,090.27/1,505.11 = 742.78/x
  3. Step 3: Cross multiply
    1,090.27x = 1,505.11 × 742.78
  4. Step 4: Simplify right side
    1,090.27x = 1,117,959.99
  5. Step 5: Solve for x
    x = 1,117,959.99/1,090.27
  6. Step 6: Final answer
    x = 1,025.40

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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.