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Finding the Fourth Proportional to 735.12, 1,102.68 and 324.72

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Solution

The fourth proportional to 735.12, 1,102.68 and 324.72 is: 487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.12 : 1,102.68 = 324.72 : x
  2. Step 2: Convert to fraction form
    735.12/1,102.68 = 324.72/x
  3. Step 3: Cross multiply
    735.12x = 1,102.68 × 324.72
  4. Step 4: Simplify right side
    735.12x = 358,062.25
  5. Step 5: Solve for x
    x = 358,062.25/735.12
  6. Step 6: Final answer
    x = 487.08

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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.