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Finding the Fourth Proportional to 801.36, 1,201.26 and 493.30

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Solution

The fourth proportional to 801.36, 1,201.26 and 493.30 is: 739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,201.26 = 493.30 : x
  2. Step 2: Convert to fraction form
    801.36/1,201.26 = 493.30/x
  3. Step 3: Cross multiply
    801.36x = 1,201.26 × 493.30
  4. Step 4: Simplify right side
    801.36x = 592,581.56
  5. Step 5: Solve for x
    x = 592,581.56/801.36
  6. Step 6: Final answer
    x = 739.47

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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.