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Finding the Fourth Proportional to 790.28, 1,090.85 and 542.31

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Solution

The fourth proportional to 790.28, 1,090.85 and 542.31 is: 748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.28 : 1,090.85 = 542.31 : x
  2. Step 2: Convert to fraction form
    790.28/1,090.85 = 542.31/x
  3. Step 3: Cross multiply
    790.28x = 1,090.85 × 542.31
  4. Step 4: Simplify right side
    790.28x = 591,576.15
  5. Step 5: Solve for x
    x = 591,576.15/790.28
  6. Step 6: Final answer
    x = 748.57

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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.