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Finding the Fourth Proportional to 720.20, 993.89 and 425.47

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Solution

The fourth proportional to 720.20, 993.89 and 425.47 is: 587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.20 : 993.89 = 425.47 : x
  2. Step 2: Convert to fraction form
    720.20/993.89 = 425.47/x
  3. Step 3: Cross multiply
    720.20x = 993.89 × 425.47
  4. Step 4: Simplify right side
    720.20x = 422,867.23
  5. Step 5: Solve for x
    x = 422,867.23/720.20
  6. Step 6: Final answer
    x = 587.15

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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.