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Finding the Fourth Proportional to 457.92, 681.48 and 440.64

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Solution

The fourth proportional to 457.92, 681.48 and 440.64 is: 655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 681.48 = 440.64 : x
  2. Step 2: Convert to fraction form
    457.92/681.48 = 440.64/x
  3. Step 3: Cross multiply
    457.92x = 681.48 × 440.64
  4. Step 4: Simplify right side
    457.92x = 300,287.35
  5. Step 5: Solve for x
    x = 300,287.35/457.92
  6. Step 6: Final answer
    x = 655.76

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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.