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Finding the Fourth Proportional to 676.43, 934.34 and 499.74

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Solution

The fourth proportional to 676.43, 934.34 and 499.74 is: 690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.43 : 934.34 = 499.74 : x
  2. Step 2: Convert to fraction form
    676.43/934.34 = 499.74/x
  3. Step 3: Cross multiply
    676.43x = 934.34 × 499.74
  4. Step 4: Simplify right side
    676.43x = 466,924.57
  5. Step 5: Solve for x
    x = 466,924.57/676.43
  6. Step 6: Final answer
    x = 690.28

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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.