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Finding the Fourth Proportional to 612.15, 843.78 and 425.85

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Solution

The fourth proportional to 612.15, 843.78 and 425.85 is: 586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.15 : 843.78 = 425.85 : x
  2. Step 2: Convert to fraction form
    612.15/843.78 = 425.85/x
  3. Step 3: Cross multiply
    612.15x = 843.78 × 425.85
  4. Step 4: Simplify right side
    612.15x = 359,323.71
  5. Step 5: Solve for x
    x = 359,323.71/612.15
  6. Step 6: Final answer
    x = 586.99

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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.