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Finding the Fourth Proportional to 574.86, 862.30 and 228.13

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Solution

The fourth proportional to 574.86, 862.30 and 228.13 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.86 : 862.30 = 228.13 : x
  2. Step 2: Convert to fraction form
    574.86/862.30 = 228.13/x
  3. Step 3: Cross multiply
    574.86x = 862.30 × 228.13
  4. Step 4: Simplify right side
    574.86x = 196,718.20
  5. Step 5: Solve for x
    x = 196,718.20/574.86
  6. Step 6: Final answer
    x = 342.20

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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.