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Finding the Fourth Proportional to 578.77, 867.60 and 249.95

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Solution

The fourth proportional to 578.77, 867.60 and 249.95 is: 374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.77 : 867.60 = 249.95 : x
  2. Step 2: Convert to fraction form
    578.77/867.60 = 249.95/x
  3. Step 3: Cross multiply
    578.77x = 867.60 × 249.95
  4. Step 4: Simplify right side
    578.77x = 216,858.79
  5. Step 5: Solve for x
    x = 216,858.79/578.77
  6. Step 6: Final answer
    x = 374.69

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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.