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Finding the Fourth Proportional to 779.87, 1,169.82 and 202.74

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Solution

The fourth proportional to 779.87, 1,169.82 and 202.74 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.87 : 1,169.82 = 202.74 : x
  2. Step 2: Convert to fraction form
    779.87/1,169.82 = 202.74/x
  3. Step 3: Cross multiply
    779.87x = 1,169.82 × 202.74
  4. Step 4: Simplify right side
    779.87x = 237,169.31
  5. Step 5: Solve for x
    x = 237,169.31/779.87
  6. Step 6: Final answer
    x = 304.12

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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.