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Finding the Fourth Proportional to 794.11, 1,188.67 and 545.86

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Solution

The fourth proportional to 794.11, 1,188.67 and 545.86 is: 817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.11 : 1,188.67 = 545.86 : x
  2. Step 2: Convert to fraction form
    794.11/1,188.67 = 545.86/x
  3. Step 3: Cross multiply
    794.11x = 1,188.67 × 545.86
  4. Step 4: Simplify right side
    794.11x = 648,844.68
  5. Step 5: Solve for x
    x = 648,844.68/794.11
  6. Step 6: Final answer
    x = 817.08

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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.