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Finding the Fourth Proportional to 676.62, 934.50 and 456.48

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Solution

The fourth proportional to 676.62, 934.50 and 456.48 is: 630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.62 : 934.50 = 456.48 : x
  2. Step 2: Convert to fraction form
    676.62/934.50 = 456.48/x
  3. Step 3: Cross multiply
    676.62x = 934.50 × 456.48
  4. Step 4: Simplify right side
    676.62x = 426,580.56
  5. Step 5: Solve for x
    x = 426,580.56/676.62
  6. Step 6: Final answer
    x = 630.46

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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.