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Finding the Fourth Proportional to 460, 685.94 and 426.52

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Solution

The fourth proportional to 460, 685.94 and 426.52 is: 636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 685.94 = 426.52 : x
  2. Step 2: Convert to fraction form
    460/685.94 = 426.52/x
  3. Step 3: Cross multiply
    460x = 685.94 × 426.52
  4. Step 4: Simplify right side
    460x = 292,567.13
  5. Step 5: Solve for x
    x = 292,567.13/460
  6. Step 6: Final answer
    x = 636.02

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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.