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Finding the Fourth Proportional to 578.28, 865.80 and 395.40

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Solution

The fourth proportional to 578.28, 865.80 and 395.40 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 865.80 = 395.40 : x
  2. Step 2: Convert to fraction form
    578.28/865.80 = 395.40/x
  3. Step 3: Cross multiply
    578.28x = 865.80 × 395.40
  4. Step 4: Simplify right side
    578.28x = 342,337.32
  5. Step 5: Solve for x
    x = 342,337.32/578.28
  6. Step 6: Final answer
    x = 591.99

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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.