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Finding the Fourth Proportional to 735.29, 1,103.21 and 324.13

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Solution

The fourth proportional to 735.29, 1,103.21 and 324.13 is: 486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.29 : 1,103.21 = 324.13 : x
  2. Step 2: Convert to fraction form
    735.29/1,103.21 = 324.13/x
  3. Step 3: Cross multiply
    735.29x = 1,103.21 × 324.13
  4. Step 4: Simplify right side
    735.29x = 357,583.46
  5. Step 5: Solve for x
    x = 357,583.46/735.29
  6. Step 6: Final answer
    x = 486.32

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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.