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Finding the Fourth Proportional to 574.24, 857.52 and 451.12

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Solution

The fourth proportional to 574.24, 857.52 and 451.12 is: 673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 857.52 = 451.12 : x
  2. Step 2: Convert to fraction form
    574.24/857.52 = 451.12/x
  3. Step 3: Cross multiply
    574.24x = 857.52 × 451.12
  4. Step 4: Simplify right side
    574.24x = 386,844.42
  5. Step 5: Solve for x
    x = 386,844.42/574.24
  6. Step 6: Final answer
    x = 673.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.