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Finding the Fourth Proportional to 677.49, 934.94 and 378.74

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Solution

The fourth proportional to 677.49, 934.94 and 378.74 is: 522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.49 : 934.94 = 378.74 : x
  2. Step 2: Convert to fraction form
    677.49/934.94 = 378.74/x
  3. Step 3: Cross multiply
    677.49x = 934.94 × 378.74
  4. Step 4: Simplify right side
    677.49x = 354,092.61
  5. Step 5: Solve for x
    x = 354,092.61/677.49
  6. Step 6: Final answer
    x = 522.65

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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.