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Finding the Fourth Proportional to 579.90, 869.56 and 255.12

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Solution

The fourth proportional to 579.90, 869.56 and 255.12 is: 382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 869.56 = 255.12 : x
  2. Step 2: Convert to fraction form
    579.90/869.56 = 255.12/x
  3. Step 3: Cross multiply
    579.90x = 869.56 × 255.12
  4. Step 4: Simplify right side
    579.90x = 221,842.15
  5. Step 5: Solve for x
    x = 221,842.15/579.90
  6. Step 6: Final answer
    x = 382.55

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1.5x scale

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.