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Finding the Fourth Proportional to 794.38, 1,095.94 and 545.71

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Solution

The fourth proportional to 794.38, 1,095.94 and 545.71 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.38 : 1,095.94 = 545.71 : x
  2. Step 2: Convert to fraction form
    794.38/1,095.94 = 545.71/x
  3. Step 3: Cross multiply
    794.38x = 1,095.94 × 545.71
  4. Step 4: Simplify right side
    794.38x = 598,065.42
  5. Step 5: Solve for x
    x = 598,065.42/794.38
  6. Step 6: Final answer
    x = 752.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.