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Finding the Fourth Proportional to 775.92, 1,070.79 and 444.43

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Solution

The fourth proportional to 775.92, 1,070.79 and 444.43 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.92 : 1,070.79 = 444.43 : x
  2. Step 2: Convert to fraction form
    775.92/1,070.79 = 444.43/x
  3. Step 3: Cross multiply
    775.92x = 1,070.79 × 444.43
  4. Step 4: Simplify right side
    775.92x = 475,890.87
  5. Step 5: Solve for x
    x = 475,890.87/775.92
  6. Step 6: Final answer
    x = 613.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.