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Finding the Fourth Proportional to 733.51, 1,012.21 and 418.79

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Solution

The fourth proportional to 733.51, 1,012.21 and 418.79 is: 577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.51 : 1,012.21 = 418.79 : x
  2. Step 2: Convert to fraction form
    733.51/1,012.21 = 418.79/x
  3. Step 3: Cross multiply
    733.51x = 1,012.21 × 418.79
  4. Step 4: Simplify right side
    733.51x = 423,901.57
  5. Step 5: Solve for x
    x = 423,901.57/733.51
  6. Step 6: Final answer
    x = 577.91

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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.