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Finding the Fourth Proportional to 778.23, 1,166.12 and 543.74

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Solution

The fourth proportional to 778.23, 1,166.12 and 543.74 is: 814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.23 : 1,166.12 = 543.74 : x
  2. Step 2: Convert to fraction form
    778.23/1,166.12 = 543.74/x
  3. Step 3: Cross multiply
    778.23x = 1,166.12 × 543.74
  4. Step 4: Simplify right side
    778.23x = 634,057.54
  5. Step 5: Solve for x
    x = 634,057.54/778.23
  6. Step 6: Final answer
    x = 814.74

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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.