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Finding the Fourth Proportional to 677.08, 934.82 and 630.57

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Solution

The fourth proportional to 677.08, 934.82 and 630.57 is: 870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 934.82 = 630.57 : x
  2. Step 2: Convert to fraction form
    677.08/934.82 = 630.57/x
  3. Step 3: Cross multiply
    677.08x = 934.82 × 630.57
  4. Step 4: Simplify right side
    677.08x = 589,469.45
  5. Step 5: Solve for x
    x = 589,469.45/677.08
  6. Step 6: Final answer
    x = 870.61

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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.