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Finding the Fourth Proportional to 766.47, 1,057.75 and 471.57

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Solution

The fourth proportional to 766.47, 1,057.75 and 471.57 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.47 : 1,057.75 = 471.57 : x
  2. Step 2: Convert to fraction form
    766.47/1,057.75 = 471.57/x
  3. Step 3: Cross multiply
    766.47x = 1,057.75 × 471.57
  4. Step 4: Simplify right side
    766.47x = 498,801.99
  5. Step 5: Solve for x
    x = 498,801.99/766.47
  6. Step 6: Final answer
    x = 650.78

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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.