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Finding the Fourth Proportional to 694.52, 1,040.19 and 571.53

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Solution

The fourth proportional to 694.52, 1,040.19 and 571.53 is: 855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.52 : 1,040.19 = 571.53 : x
  2. Step 2: Convert to fraction form
    694.52/1,040.19 = 571.53/x
  3. Step 3: Cross multiply
    694.52x = 1,040.19 × 571.53
  4. Step 4: Simplify right side
    694.52x = 594,499.79
  5. Step 5: Solve for x
    x = 594,499.79/694.52
  6. Step 6: Final answer
    x = 855.99

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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.