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Finding the Fourth Proportional to 720.29, 994.13 and 425.57

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Solution

The fourth proportional to 720.29, 994.13 and 425.57 is: 587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.29 : 994.13 = 425.57 : x
  2. Step 2: Convert to fraction form
    720.29/994.13 = 425.57/x
  3. Step 3: Cross multiply
    720.29x = 994.13 × 425.57
  4. Step 4: Simplify right side
    720.29x = 423,069.78
  5. Step 5: Solve for x
    x = 423,069.78/720.29
  6. Step 6: Final answer
    x = 587.36

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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.