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Finding the Fourth Proportional to 487.88, 728.09 and 426.44

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Solution

The fourth proportional to 487.88, 728.09 and 426.44 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.88 : 728.09 = 426.44 : x
  2. Step 2: Convert to fraction form
    487.88/728.09 = 426.44/x
  3. Step 3: Cross multiply
    487.88x = 728.09 × 426.44
  4. Step 4: Simplify right side
    487.88x = 310,486.70
  5. Step 5: Solve for x
    x = 310,486.70/487.88
  6. Step 6: Final answer
    x = 636.40

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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.