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Finding the Fourth Proportional to 775.78, 1,162.31 and 409.77

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Solution

The fourth proportional to 775.78, 1,162.31 and 409.77 is: 613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.78 : 1,162.31 = 409.77 : x
  2. Step 2: Convert to fraction form
    775.78/1,162.31 = 409.77/x
  3. Step 3: Cross multiply
    775.78x = 1,162.31 × 409.77
  4. Step 4: Simplify right side
    775.78x = 476,279.77
  5. Step 5: Solve for x
    x = 476,279.77/775.78
  6. Step 6: Final answer
    x = 613.94

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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.