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Finding the Fourth Proportional to 733.91, 1,105.55 and 661.77

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Solution

The fourth proportional to 733.91, 1,105.55 and 661.77 is: 996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.91 : 1,105.55 = 661.77 : x
  2. Step 2: Convert to fraction form
    733.91/1,105.55 = 661.77/x
  3. Step 3: Cross multiply
    733.91x = 1,105.55 × 661.77
  4. Step 4: Simplify right side
    733.91x = 731,619.00
  5. Step 5: Solve for x
    x = 731,619.00/733.91
  6. Step 6: Final answer
    x = 996.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.