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Finding the Fourth Proportional to 556.59, 834.86 and 209.79

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Solution

The fourth proportional to 556.59, 834.86 and 209.79 is: 314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.59 : 834.86 = 209.79 : x
  2. Step 2: Convert to fraction form
    556.59/834.86 = 209.79/x
  3. Step 3: Cross multiply
    556.59x = 834.86 × 209.79
  4. Step 4: Simplify right side
    556.59x = 175,144.23
  5. Step 5: Solve for x
    x = 175,144.23/556.59
  6. Step 6: Final answer
    x = 314.67

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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.