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Finding the Fourth Proportional to 677.78, 934.92 and 444.90

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Solution

The fourth proportional to 677.78, 934.92 and 444.90 is: 613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.78 : 934.92 = 444.90 : x
  2. Step 2: Convert to fraction form
    677.78/934.92 = 444.90/x
  3. Step 3: Cross multiply
    677.78x = 934.92 × 444.90
  4. Step 4: Simplify right side
    677.78x = 415,945.91
  5. Step 5: Solve for x
    x = 415,945.91/677.78
  6. Step 6: Final answer
    x = 613.69

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1.5x scale

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.