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Finding the Fourth Proportional to 696.70, 1,044.98 and 209.79

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Solution

The fourth proportional to 696.70, 1,044.98 and 209.79 is: 314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.70 : 1,044.98 = 209.79 : x
  2. Step 2: Convert to fraction form
    696.70/1,044.98 = 209.79/x
  3. Step 3: Cross multiply
    696.70x = 1,044.98 × 209.79
  4. Step 4: Simplify right side
    696.70x = 219,225.50
  5. Step 5: Solve for x
    x = 219,225.50/696.70
  6. Step 6: Final answer
    x = 314.66

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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.