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Finding the Fourth Proportional to 778.78, 1,165.74 and 573.58

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Solution

The fourth proportional to 778.78, 1,165.74 and 573.58 is: 858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.78 : 1,165.74 = 573.58 : x
  2. Step 2: Convert to fraction form
    778.78/1,165.74 = 573.58/x
  3. Step 3: Cross multiply
    778.78x = 1,165.74 × 573.58
  4. Step 4: Simplify right side
    778.78x = 668,645.15
  5. Step 5: Solve for x
    x = 668,645.15/778.78
  6. Step 6: Final answer
    x = 858.58

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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.