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Finding the Fourth Proportional to 766.19, 1,057.25 and 471.35

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Solution

The fourth proportional to 766.19, 1,057.25 and 471.35 is: 650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,057.25 = 471.35 : x
  2. Step 2: Convert to fraction form
    766.19/1,057.25 = 471.35/x
  3. Step 3: Cross multiply
    766.19x = 1,057.25 × 471.35
  4. Step 4: Simplify right side
    766.19x = 498,338.61
  5. Step 5: Solve for x
    x = 498,338.61/766.19
  6. Step 6: Final answer
    x = 650.41

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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.