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Finding the Fourth Proportional to 696.87, 1,045.24 and 209.99

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Solution

The fourth proportional to 696.87, 1,045.24 and 209.99 is: 314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.87 : 1,045.24 = 209.99 : x
  2. Step 2: Convert to fraction form
    696.87/1,045.24 = 209.99/x
  3. Step 3: Cross multiply
    696.87x = 1,045.24 × 209.99
  4. Step 4: Simplify right side
    696.87x = 219,492.04
  5. Step 5: Solve for x
    x = 219,492.04/696.87
  6. Step 6: Final answer
    x = 314.97

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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.