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Finding the Fourth Proportional to 457.10, 631.47 and 422.54

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Solution

The fourth proportional to 457.10, 631.47 and 422.54 is: 583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.10 : 631.47 = 422.54 : x
  2. Step 2: Convert to fraction form
    457.10/631.47 = 422.54/x
  3. Step 3: Cross multiply
    457.10x = 631.47 × 422.54
  4. Step 4: Simplify right side
    457.10x = 266,821.33
  5. Step 5: Solve for x
    x = 266,821.33/457.10
  6. Step 6: Final answer
    x = 583.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.