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Finding the Fourth Proportional to 677.74, 934.80 and 428.83

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Solution

The fourth proportional to 677.74, 934.80 and 428.83 is: 591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.74 : 934.80 = 428.83 : x
  2. Step 2: Convert to fraction form
    677.74/934.80 = 428.83/x
  3. Step 3: Cross multiply
    677.74x = 934.80 × 428.83
  4. Step 4: Simplify right side
    677.74x = 400,870.28
  5. Step 5: Solve for x
    x = 400,870.28/677.74
  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.