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Finding the Fourth Proportional to 677.40, 934.83 and 382.65

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Solution

The fourth proportional to 677.40, 934.83 and 382.65 is: 528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 934.83 = 382.65 : x
  2. Step 2: Convert to fraction form
    677.40/934.83 = 382.65/x
  3. Step 3: Cross multiply
    677.40x = 934.83 × 382.65
  4. Step 4: Simplify right side
    677.40x = 357,712.70
  5. Step 5: Solve for x
    x = 357,712.70/677.40
  6. Step 6: Final answer
    x = 528.07

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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.