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Finding the Fourth Proportional to 695.07, 1,043.31 and 542.66

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Solution

The fourth proportional to 695.07, 1,043.31 and 542.66 is: 814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.07 : 1,043.31 = 542.66 : x
  2. Step 2: Convert to fraction form
    695.07/1,043.31 = 542.66/x
  3. Step 3: Cross multiply
    695.07x = 1,043.31 × 542.66
  4. Step 4: Simplify right side
    695.07x = 566,162.60
  5. Step 5: Solve for x
    x = 566,162.60/695.07
  6. Step 6: Final answer
    x = 814.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.