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Finding the Fourth Proportional to 457.44, 689.58 and 426.12

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Solution

The fourth proportional to 457.44, 689.58 and 426.12 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.44 : 689.58 = 426.12 : x
  2. Step 2: Convert to fraction form
    457.44/689.58 = 426.12/x
  3. Step 3: Cross multiply
    457.44x = 689.58 × 426.12
  4. Step 4: Simplify right side
    457.44x = 293,843.83
  5. Step 5: Solve for x
    x = 293,843.83/457.44
  6. Step 6: Final answer
    x = 642.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.