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Finding the Fourth Proportional to 578.93, 868.98 and 565.86

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Solution

The fourth proportional to 578.93, 868.98 and 565.86 is: 849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.93 : 868.98 = 565.86 : x
  2. Step 2: Convert to fraction form
    578.93/868.98 = 565.86/x
  3. Step 3: Cross multiply
    578.93x = 868.98 × 565.86
  4. Step 4: Simplify right side
    578.93x = 491,721.02
  5. Step 5: Solve for x
    x = 491,721.02/578.93
  6. Step 6: Final answer
    x = 849.37

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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.