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Finding the Fourth Proportional to 574.99, 862.53 and 422.81

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Solution

The fourth proportional to 574.99, 862.53 and 422.81 is: 634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.99 : 862.53 = 422.81 : x
  2. Step 2: Convert to fraction form
    574.99/862.53 = 422.81/x
  3. Step 3: Cross multiply
    574.99x = 862.53 × 422.81
  4. Step 4: Simplify right side
    574.99x = 364,686.31
  5. Step 5: Solve for x
    x = 364,686.31/574.99
  6. Step 6: Final answer
    x = 634.25

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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.