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Finding the Fourth Proportional to 699.26, 1,048.11 and 308.85

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Solution

The fourth proportional to 699.26, 1,048.11 and 308.85 is: 462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.26 : 1,048.11 = 308.85 : x
  2. Step 2: Convert to fraction form
    699.26/1,048.11 = 308.85/x
  3. Step 3: Cross multiply
    699.26x = 1,048.11 × 308.85
  4. Step 4: Simplify right side
    699.26x = 323,708.77
  5. Step 5: Solve for x
    x = 323,708.77/699.26
  6. Step 6: Final answer
    x = 462.93

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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.