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Finding the Fourth Proportional to 578.53, 866.17 and 395.65

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Solution

The fourth proportional to 578.53, 866.17 and 395.65 is: 592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 866.17 = 395.65 : x
  2. Step 2: Convert to fraction form
    578.53/866.17 = 395.65/x
  3. Step 3: Cross multiply
    578.53x = 866.17 × 395.65
  4. Step 4: Simplify right side
    578.53x = 342,700.16
  5. Step 5: Solve for x
    x = 342,700.16/578.53
  6. Step 6: Final answer
    x = 592.36

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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.