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Finding the Fourth Proportional to 733.77, 1,101.29 and 490.59

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Solution

The fourth proportional to 733.77, 1,101.29 and 490.59 is: 736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.77 : 1,101.29 = 490.59 : x
  2. Step 2: Convert to fraction form
    733.77/1,101.29 = 490.59/x
  3. Step 3: Cross multiply
    733.77x = 1,101.29 × 490.59
  4. Step 4: Simplify right side
    733.77x = 540,279.41
  5. Step 5: Solve for x
    x = 540,279.41/733.77
  6. Step 6: Final answer
    x = 736.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.