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Finding the Fourth Proportional to 720.42, 994.26 and 425.76

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Solution

The fourth proportional to 720.42, 994.26 and 425.76 is: 587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.42 : 994.26 = 425.76 : x
  2. Step 2: Convert to fraction form
    720.42/994.26 = 425.76/x
  3. Step 3: Cross multiply
    720.42x = 994.26 × 425.76
  4. Step 4: Simplify right side
    720.42x = 423,316.14
  5. Step 5: Solve for x
    x = 423,316.14/720.42
  6. Step 6: Final answer
    x = 587.60

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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.