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Finding the Fourth Proportional to 724.65, 999.68 and 425.80

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Solution

The fourth proportional to 724.65, 999.68 and 425.80 is: 587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.65 : 999.68 = 425.80 : x
  2. Step 2: Convert to fraction form
    724.65/999.68 = 425.80/x
  3. Step 3: Cross multiply
    724.65x = 999.68 × 425.80
  4. Step 4: Simplify right side
    724.65x = 425,656.62
  5. Step 5: Solve for x
    x = 425,656.62/724.65
  6. Step 6: Final answer
    x = 587.40

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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.