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Finding the Fourth Proportional to 733.16, 1,012.12 and 471.22

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Solution

The fourth proportional to 733.16, 1,012.12 and 471.22 is: 650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.16 : 1,012.12 = 471.22 : x
  2. Step 2: Convert to fraction form
    733.16/1,012.12 = 471.22/x
  3. Step 3: Cross multiply
    733.16x = 1,012.12 × 471.22
  4. Step 4: Simplify right side
    733.16x = 476,931.19
  5. Step 5: Solve for x
    x = 476,931.19/733.16
  6. Step 6: Final answer
    x = 650.51

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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.