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Finding the Fourth Proportional to 775.97, 1,070.72 and 496.45

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Solution

The fourth proportional to 775.97, 1,070.72 and 496.45 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,070.72 = 496.45 : x
  2. Step 2: Convert to fraction form
    775.97/1,070.72 = 496.45/x
  3. Step 3: Cross multiply
    775.97x = 1,070.72 × 496.45
  4. Step 4: Simplify right side
    775.97x = 531,556.46
  5. Step 5: Solve for x
    x = 531,556.46/775.97
  6. Step 6: Final answer
    x = 685.02

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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.