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Finding the Fourth Proportional to 676.53, 934.02 and 427.95

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Solution

The fourth proportional to 676.53, 934.02 and 427.95 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.53 : 934.02 = 427.95 : x
  2. Step 2: Convert to fraction form
    676.53/934.02 = 427.95/x
  3. Step 3: Cross multiply
    676.53x = 934.02 × 427.95
  4. Step 4: Simplify right side
    676.53x = 399,713.86
  5. Step 5: Solve for x
    x = 399,713.86/676.53
  6. Step 6: Final answer
    x = 590.83

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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.