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Finding the Fourth Proportional to 694.73, 1,041.13 and 574.44

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Solution

The fourth proportional to 694.73, 1,041.13 and 574.44 is: 860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.73 : 1,041.13 = 574.44 : x
  2. Step 2: Convert to fraction form
    694.73/1,041.13 = 574.44/x
  3. Step 3: Cross multiply
    694.73x = 1,041.13 × 574.44
  4. Step 4: Simplify right side
    694.73x = 598,066.72
  5. Step 5: Solve for x
    x = 598,066.72/694.73
  6. Step 6: Final answer
    x = 860.86

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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.