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Finding the Fourth Proportional to 677.46, 934.95 and 382.74

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Solution

The fourth proportional to 677.46, 934.95 and 382.74 is: 528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.46 : 934.95 = 382.74 : x
  2. Step 2: Convert to fraction form
    677.46/934.95 = 382.74/x
  3. Step 3: Cross multiply
    677.46x = 934.95 × 382.74
  4. Step 4: Simplify right side
    677.46x = 357,842.76
  5. Step 5: Solve for x
    x = 357,842.76/677.46
  6. Step 6: Final answer
    x = 528.21

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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.