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Finding the Fourth Proportional to 574.08, 863.28 and 561.12

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Solution

The fourth proportional to 574.08, 863.28 and 561.12 is: 843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 863.28 = 561.12 : x
  2. Step 2: Convert to fraction form
    574.08/863.28 = 561.12/x
  3. Step 3: Cross multiply
    574.08x = 863.28 × 561.12
  4. Step 4: Simplify right side
    574.08x = 484,403.67
  5. Step 5: Solve for x
    x = 484,403.67/574.08
  6. Step 6: Final answer
    x = 843.79

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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.