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Finding the Fourth Proportional to 775.76, 1,070.57 and 421.71

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Solution

The fourth proportional to 775.76, 1,070.57 and 421.71 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.76 : 1,070.57 = 421.71 : x
  2. Step 2: Convert to fraction form
    775.76/1,070.57 = 421.71/x
  3. Step 3: Cross multiply
    775.76x = 1,070.57 × 421.71
  4. Step 4: Simplify right side
    775.76x = 451,471.39
  5. Step 5: Solve for x
    x = 451,471.39/775.76
  6. Step 6: Final answer
    x = 581.97

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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.