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Finding the Fourth Proportional to 575.49, 862.56 and 301.71

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Solution

The fourth proportional to 575.49, 862.56 and 301.71 is: 452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.49 : 862.56 = 301.71 : x
  2. Step 2: Convert to fraction form
    575.49/862.56 = 301.71/x
  3. Step 3: Cross multiply
    575.49x = 862.56 × 301.71
  4. Step 4: Simplify right side
    575.49x = 260,242.98
  5. Step 5: Solve for x
    x = 260,242.98/575.49
  6. Step 6: Final answer
    x = 452.21

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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.