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Finding the Fourth Proportional to 574.66, 862.26 and 245.70

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Solution

The fourth proportional to 574.66, 862.26 and 245.70 is: 368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.66 : 862.26 = 245.70 : x
  2. Step 2: Convert to fraction form
    574.66/862.26 = 245.70/x
  3. Step 3: Cross multiply
    574.66x = 862.26 × 245.70
  4. Step 4: Simplify right side
    574.66x = 211,856.71
  5. Step 5: Solve for x
    x = 211,856.71/574.66
  6. Step 6: Final answer
    x = 368.66

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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.