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Finding the Fourth Proportional to 696.26, 1,044.68 and 306.06

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Solution

The fourth proportional to 696.26, 1,044.68 and 306.06 is: 459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.26 : 1,044.68 = 306.06 : x
  2. Step 2: Convert to fraction form
    696.26/1,044.68 = 306.06/x
  3. Step 3: Cross multiply
    696.26x = 1,044.68 × 306.06
  4. Step 4: Simplify right side
    696.26x = 319,734.76
  5. Step 5: Solve for x
    x = 319,734.76/696.26
  6. Step 6: Final answer
    x = 459.22

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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.