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Finding the Fourth Proportional to 677.50, 934.89 and 382.72

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Solution

The fourth proportional to 677.50, 934.89 and 382.72 is: 528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.50 : 934.89 = 382.72 : x
  2. Step 2: Convert to fraction form
    677.50/934.89 = 382.72/x
  3. Step 3: Cross multiply
    677.50x = 934.89 × 382.72
  4. Step 4: Simplify right side
    677.50x = 357,801.10
  5. Step 5: Solve for x
    x = 357,801.10/677.50
  6. Step 6: Final answer
    x = 528.12

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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.