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Finding the Fourth Proportional to 775.97, 1,070.91 and 444.43

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Solution

The fourth proportional to 775.97, 1,070.91 and 444.43 is: 613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,070.91 = 444.43 : x
  2. Step 2: Convert to fraction form
    775.97/1,070.91 = 444.43/x
  3. Step 3: Cross multiply
    775.97x = 1,070.91 × 444.43
  4. Step 4: Simplify right side
    775.97x = 475,939.18
  5. Step 5: Solve for x
    x = 475,939.18/775.97
  6. Step 6: Final answer
    x = 613.35

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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.