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Finding the Fourth Proportional to 832.69, 1,248.83 and 247.56

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Solution

The fourth proportional to 832.69, 1,248.83 and 247.56 is: 371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.69 : 1,248.83 = 247.56 : x
  2. Step 2: Convert to fraction form
    832.69/1,248.83 = 247.56/x
  3. Step 3: Cross multiply
    832.69x = 1,248.83 × 247.56
  4. Step 4: Simplify right side
    832.69x = 309,154.43
  5. Step 5: Solve for x
    x = 309,154.43/832.69
  6. Step 6: Final answer
    x = 371.27

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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.