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Finding the Fourth Proportional to 735.26, 1,102.55 and 324.29

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Solution

The fourth proportional to 735.26, 1,102.55 and 324.29 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.26 : 1,102.55 = 324.29 : x
  2. Step 2: Convert to fraction form
    735.26/1,102.55 = 324.29/x
  3. Step 3: Cross multiply
    735.26x = 1,102.55 × 324.29
  4. Step 4: Simplify right side
    735.26x = 357,538.81
  5. Step 5: Solve for x
    x = 357,538.81/735.26
  6. Step 6: Final answer
    x = 486.28

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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.