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Finding the Fourth Proportional to 696.56, 1,045.28 and 263.68

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Solution

The fourth proportional to 696.56, 1,045.28 and 263.68 is: 395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.56 : 1,045.28 = 263.68 : x
  2. Step 2: Convert to fraction form
    696.56/1,045.28 = 263.68/x
  3. Step 3: Cross multiply
    696.56x = 1,045.28 × 263.68
  4. Step 4: Simplify right side
    696.56x = 275,619.43
  5. Step 5: Solve for x
    x = 275,619.43/696.56
  6. Step 6: Final answer
    x = 395.69

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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.