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Finding the Fourth Proportional to 794.22, 1,095.72 and 514.50

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Solution

The fourth proportional to 794.22, 1,095.72 and 514.50 is: 709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.22 : 1,095.72 = 514.50 : x
  2. Step 2: Convert to fraction form
    794.22/1,095.72 = 514.50/x
  3. Step 3: Cross multiply
    794.22x = 1,095.72 × 514.50
  4. Step 4: Simplify right side
    794.22x = 563,747.94
  5. Step 5: Solve for x
    x = 563,747.94/794.22
  6. Step 6: Final answer
    x = 709.81

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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.