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Finding the Fourth Proportional to 677.52, 934.80 and 382.72

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Solution

The fourth proportional to 677.52, 934.80 and 382.72 is: 528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 934.80 = 382.72 : x
  2. Step 2: Convert to fraction form
    677.52/934.80 = 382.72/x
  3. Step 3: Cross multiply
    677.52x = 934.80 × 382.72
  4. Step 4: Simplify right side
    677.52x = 357,766.66
  5. Step 5: Solve for x
    x = 357,766.66/677.52
  6. Step 6: Final answer
    x = 528.05

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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.