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Finding the Fourth Proportional to 766, 1,057 and 471.20

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Solution

The fourth proportional to 766, 1,057 and 471.20 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766 : 1,057 = 471.20 : x
  2. Step 2: Convert to fraction form
    766/1,057 = 471.20/x
  3. Step 3: Cross multiply
    766x = 1,057 × 471.20
  4. Step 4: Simplify right side
    766x = 498,058.40
  5. Step 5: Solve for x
    x = 498,058.40/766
  6. Step 6: Final answer
    x = 650.21

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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.