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Finding the Fourth Proportional to 677.39, 934.79 and 428.85

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Solution

The fourth proportional to 677.39, 934.79 and 428.85 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.39 : 934.79 = 428.85 : x
  2. Step 2: Convert to fraction form
    677.39/934.79 = 428.85/x
  3. Step 3: Cross multiply
    677.39x = 934.79 × 428.85
  4. Step 4: Simplify right side
    677.39x = 400,882.55
  5. Step 5: Solve for x
    x = 400,882.55/677.39
  6. Step 6: Final answer
    x = 591.81

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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.