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Finding the Fourth Proportional to 775.92, 1,162.92 and 391.28

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Solution

The fourth proportional to 775.92, 1,162.92 and 391.28 is: 586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.92 : 1,162.92 = 391.28 : x
  2. Step 2: Convert to fraction form
    775.92/1,162.92 = 391.28/x
  3. Step 3: Cross multiply
    775.92x = 1,162.92 × 391.28
  4. Step 4: Simplify right side
    775.92x = 455,027.34
  5. Step 5: Solve for x
    x = 455,027.34/775.92
  6. Step 6: Final answer
    x = 586.44

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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.