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Finding the Fourth Proportional to 778.80, 1,165.68 and 573.33

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Solution

The fourth proportional to 778.80, 1,165.68 and 573.33 is: 858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.80 : 1,165.68 = 573.33 : x
  2. Step 2: Convert to fraction form
    778.80/1,165.68 = 573.33/x
  3. Step 3: Cross multiply
    778.80x = 1,165.68 × 573.33
  4. Step 4: Simplify right side
    778.80x = 668,319.31
  5. Step 5: Solve for x
    x = 668,319.31/778.80
  6. Step 6: Final answer
    x = 858.14

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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.