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Finding the Fourth Proportional to 720.89, 994.78 and 426.05

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Solution

The fourth proportional to 720.89, 994.78 and 426.05 is: 587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.89 : 994.78 = 426.05 : x
  2. Step 2: Convert to fraction form
    720.89/994.78 = 426.05/x
  3. Step 3: Cross multiply
    720.89x = 994.78 × 426.05
  4. Step 4: Simplify right side
    720.89x = 423,825.31
  5. Step 5: Solve for x
    x = 423,825.31/720.89
  6. Step 6: Final answer
    x = 587.92

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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.