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Finding the Fourth Proportional to 578.56, 866.69 and 395.50

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Solution

The fourth proportional to 578.56, 866.69 and 395.50 is: 592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 866.69 = 395.50 : x
  2. Step 2: Convert to fraction form
    578.56/866.69 = 395.50/x
  3. Step 3: Cross multiply
    578.56x = 866.69 × 395.50
  4. Step 4: Simplify right side
    578.56x = 342,775.90
  5. Step 5: Solve for x
    x = 342,775.90/578.56
  6. Step 6: Final answer
    x = 592.46

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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.