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Finding the Fourth Proportional to 556.46, 834.57 and 209.78

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Solution

The fourth proportional to 556.46, 834.57 and 209.78 is: 314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 834.57 = 209.78 : x
  2. Step 2: Convert to fraction form
    556.46/834.57 = 209.78/x
  3. Step 3: Cross multiply
    556.46x = 834.57 × 209.78
  4. Step 4: Simplify right side
    556.46x = 175,071.92
  5. Step 5: Solve for x
    x = 175,071.92/556.46
  6. Step 6: Final answer
    x = 314.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.