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Finding the Fourth Proportional to 678.06, 934.23 and 488.85

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Solution

The fourth proportional to 678.06, 934.23 and 488.85 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.06 : 934.23 = 488.85 : x
  2. Step 2: Convert to fraction form
    678.06/934.23 = 488.85/x
  3. Step 3: Cross multiply
    678.06x = 934.23 × 488.85
  4. Step 4: Simplify right side
    678.06x = 456,698.34
  5. Step 5: Solve for x
    x = 456,698.34/678.06
  6. Step 6: Final answer
    x = 673.54

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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.