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Finding the Fourth Proportional to 778.69, 1,165.50 and 573.19

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Solution

The fourth proportional to 778.69, 1,165.50 and 573.19 is: 857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.69 : 1,165.50 = 573.19 : x
  2. Step 2: Convert to fraction form
    778.69/1,165.50 = 573.19/x
  3. Step 3: Cross multiply
    778.69x = 1,165.50 × 573.19
  4. Step 4: Simplify right side
    778.69x = 668,052.95
  5. Step 5: Solve for x
    x = 668,052.95/778.69
  6. Step 6: Final answer
    x = 857.92

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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.