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Finding the Fourth Proportional to 612.08, 844.92 and 425.84

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Solution

The fourth proportional to 612.08, 844.92 and 425.84 is: 587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.08 : 844.92 = 425.84 : x
  2. Step 2: Convert to fraction form
    612.08/844.92 = 425.84/x
  3. Step 3: Cross multiply
    612.08x = 844.92 × 425.84
  4. Step 4: Simplify right side
    612.08x = 359,800.73
  5. Step 5: Solve for x
    x = 359,800.73/612.08
  6. Step 6: Final answer
    x = 587.83

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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.