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Finding the Fourth Proportional to 720.35, 994.04 and 425.65

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Solution

The fourth proportional to 720.35, 994.04 and 425.65 is: 587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.35 : 994.04 = 425.65 : x
  2. Step 2: Convert to fraction form
    720.35/994.04 = 425.65/x
  3. Step 3: Cross multiply
    720.35x = 994.04 × 425.65
  4. Step 4: Simplify right side
    720.35x = 423,109.22
  5. Step 5: Solve for x
    x = 423,109.22/720.35
  6. Step 6: Final answer
    x = 587.37

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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.