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Finding the Fourth Proportional to 457.60, 682.88 and 402.88

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Solution

The fourth proportional to 457.60, 682.88 and 402.88 is: 601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.60 : 682.88 = 402.88 : x
  2. Step 2: Convert to fraction form
    457.60/682.88 = 402.88/x
  3. Step 3: Cross multiply
    457.60x = 682.88 × 402.88
  4. Step 4: Simplify right side
    457.60x = 275,118.69
  5. Step 5: Solve for x
    x = 275,118.69/457.60
  6. Step 6: Final answer
    x = 601.22

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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.