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Finding the Fourth Proportional to 677.60, 934.92 and 428.92

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Solution

The fourth proportional to 677.60, 934.92 and 428.92 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 934.92 = 428.92 : x
  2. Step 2: Convert to fraction form
    677.60/934.92 = 428.92/x
  3. Step 3: Cross multiply
    677.60x = 934.92 × 428.92
  4. Step 4: Simplify right side
    677.60x = 401,005.89
  5. Step 5: Solve for x
    x = 401,005.89/677.60
  6. Step 6: Final answer
    x = 591.80

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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.