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Finding the Fourth Proportional to 687.83, 949.14 and 425.86

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Solution

The fourth proportional to 687.83, 949.14 and 425.86 is: 587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.83 : 949.14 = 425.86 : x
  2. Step 2: Convert to fraction form
    687.83/949.14 = 425.86/x
  3. Step 3: Cross multiply
    687.83x = 949.14 × 425.86
  4. Step 4: Simplify right side
    687.83x = 404,198.39
  5. Step 5: Solve for x
    x = 404,198.39/687.83
  6. Step 6: Final answer
    x = 587.65

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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.