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Finding the Fourth Proportional to 677.37, 934.80 and 428.60

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Solution

The fourth proportional to 677.37, 934.80 and 428.60 is: 591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.37 : 934.80 = 428.60 : x
  2. Step 2: Convert to fraction form
    677.37/934.80 = 428.60/x
  3. Step 3: Cross multiply
    677.37x = 934.80 × 428.60
  4. Step 4: Simplify right side
    677.37x = 400,650.61
  5. Step 5: Solve for x
    x = 400,650.61/677.37
  6. Step 6: Final answer
    x = 591.48

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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.