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Finding the Fourth Proportional to 775.62, 1,070.42 and 480.92

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Solution

The fourth proportional to 775.62, 1,070.42 and 480.92 is: 663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.62 : 1,070.42 = 480.92 : x
  2. Step 2: Convert to fraction form
    775.62/1,070.42 = 480.92/x
  3. Step 3: Cross multiply
    775.62x = 1,070.42 × 480.92
  4. Step 4: Simplify right side
    775.62x = 514,786.39
  5. Step 5: Solve for x
    x = 514,786.39/775.62
  6. Step 6: Final answer
    x = 663.71

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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.