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Finding the Fourth Proportional to 792.07, 1,186.56 and 545.23

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Solution

The fourth proportional to 792.07, 1,186.56 and 545.23 is: 816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.07 : 1,186.56 = 545.23 : x
  2. Step 2: Convert to fraction form
    792.07/1,186.56 = 545.23/x
  3. Step 3: Cross multiply
    792.07x = 1,186.56 × 545.23
  4. Step 4: Simplify right side
    792.07x = 646,948.11
  5. Step 5: Solve for x
    x = 646,948.11/792.07
  6. Step 6: Final answer
    x = 816.78

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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.