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Finding the Fourth Proportional to 733.20, 1,012.08 and 471.30

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Solution

The fourth proportional to 733.20, 1,012.08 and 471.30 is: 650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 1,012.08 = 471.30 : x
  2. Step 2: Convert to fraction form
    733.20/1,012.08 = 471.30/x
  3. Step 3: Cross multiply
    733.20x = 1,012.08 × 471.30
  4. Step 4: Simplify right side
    733.20x = 476,993.30
  5. Step 5: Solve for x
    x = 476,993.30/733.20
  6. Step 6: Final answer
    x = 650.56

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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.