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Finding the Fourth Proportional to 733.67, 1,012.64 and 471.23

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Solution

The fourth proportional to 733.67, 1,012.64 and 471.23 is: 650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.67 : 1,012.64 = 471.23 : x
  2. Step 2: Convert to fraction form
    733.67/1,012.64 = 471.23/x
  3. Step 3: Cross multiply
    733.67x = 1,012.64 × 471.23
  4. Step 4: Simplify right side
    733.67x = 477,186.35
  5. Step 5: Solve for x
    x = 477,186.35/733.67
  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.