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Finding the Fourth Proportional to 720.34, 994.01 and 425.61

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Solution

The fourth proportional to 720.34, 994.01 and 425.61 is: 587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.34 : 994.01 = 425.61 : x
  2. Step 2: Convert to fraction form
    720.34/994.01 = 425.61/x
  3. Step 3: Cross multiply
    720.34x = 994.01 × 425.61
  4. Step 4: Simplify right side
    720.34x = 423,058.47
  5. Step 5: Solve for x
    x = 423,058.47/720.34
  6. Step 6: Final answer
    x = 587.31

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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.