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Finding the Fourth Proportional to 457.61, 632.13 and 440.75

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Solution

The fourth proportional to 457.61, 632.13 and 440.75 is: 608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 632.13 = 440.75 : x
  2. Step 2: Convert to fraction form
    457.61/632.13 = 440.75/x
  3. Step 3: Cross multiply
    457.61x = 632.13 × 440.75
  4. Step 4: Simplify right side
    457.61x = 278,608.14
  5. Step 5: Solve for x
    x = 278,608.14/457.61
  6. Step 6: Final answer
    x = 608.84

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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.