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Finding the Fourth Proportional to 733.79, 1,010.28 and 684.11

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Solution

The fourth proportional to 733.79, 1,010.28 and 684.11 is: 941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.79 : 1,010.28 = 684.11 : x
  2. Step 2: Convert to fraction form
    733.79/1,010.28 = 684.11/x
  3. Step 3: Cross multiply
    733.79x = 1,010.28 × 684.11
  4. Step 4: Simplify right side
    733.79x = 691,142.65
  5. Step 5: Solve for x
    x = 691,142.65/733.79
  6. Step 6: Final answer
    x = 941.88

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1.5x scale

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.