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Finding the Fourth Proportional to 677.61, 934.17 and 428.80

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Solution

The fourth proportional to 677.61, 934.17 and 428.80 is: 591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.61 : 934.17 = 428.80 : x
  2. Step 2: Convert to fraction form
    677.61/934.17 = 428.80/x
  3. Step 3: Cross multiply
    677.61x = 934.17 × 428.80
  4. Step 4: Simplify right side
    677.61x = 400,574.43
  5. Step 5: Solve for x
    x = 400,574.43/677.61
  6. Step 6: Final answer
    x = 591.16

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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.