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Finding the Fourth Proportional to 677.72, 934.63 and 428.61

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Solution

The fourth proportional to 677.72, 934.63 and 428.61 is: 591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.72 : 934.63 = 428.61 : x
  2. Step 2: Convert to fraction form
    677.72/934.63 = 428.61/x
  3. Step 3: Cross multiply
    677.72x = 934.63 × 428.61
  4. Step 4: Simplify right side
    677.72x = 400,591.76
  5. Step 5: Solve for x
    x = 400,591.76/677.72
  6. Step 6: Final answer
    x = 591.09

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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.