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Finding the Fourth Proportional to 792.20, 1,186.80 and 688.31

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Solution

The fourth proportional to 792.20, 1,186.80 and 688.31 is: 1,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.20 : 1,186.80 = 688.31 : x
  2. Step 2: Convert to fraction form
    792.20/1,186.80 = 688.31/x
  3. Step 3: Cross multiply
    792.20x = 1,186.80 × 688.31
  4. Step 4: Simplify right side
    792.20x = 816,886.31
  5. Step 5: Solve for x
    x = 816,886.31/792.20
  6. Step 6: Final answer
    x = 1,031.16

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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.