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Finding the Fourth Proportional to 733.15, 1,012.61 and 673.93

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Solution

The fourth proportional to 733.15, 1,012.61 and 673.93 is: 930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.15 : 1,012.61 = 673.93 : x
  2. Step 2: Convert to fraction form
    733.15/1,012.61 = 673.93/x
  3. Step 3: Cross multiply
    733.15x = 1,012.61 × 673.93
  4. Step 4: Simplify right side
    733.15x = 682,428.26
  5. Step 5: Solve for x
    x = 682,428.26/733.15
  6. Step 6: Final answer
    x = 930.82

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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.