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Finding the Fourth Proportional to 457.44, 630.84 and 289.26

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Solution

The fourth proportional to 457.44, 630.84 and 289.26 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.44 : 630.84 = 289.26 : x
  2. Step 2: Convert to fraction form
    457.44/630.84 = 289.26/x
  3. Step 3: Cross multiply
    457.44x = 630.84 × 289.26
  4. Step 4: Simplify right side
    457.44x = 182,476.78
  5. Step 5: Solve for x
    x = 182,476.78/457.44
  6. Step 6: Final answer
    x = 398.91

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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.