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Finding the Fourth Proportional to 677.67, 934.57 and 428.55

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Solution

The fourth proportional to 677.67, 934.57 and 428.55 is: 591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 934.57 = 428.55 : x
  2. Step 2: Convert to fraction form
    677.67/934.57 = 428.55/x
  3. Step 3: Cross multiply
    677.67x = 934.57 × 428.55
  4. Step 4: Simplify right side
    677.67x = 400,509.97
  5. Step 5: Solve for x
    x = 400,509.97/677.67
  6. Step 6: Final answer
    x = 591.01

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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.