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Finding the Fourth Proportional to 1,105.12, 1,657.42 and 324.91

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Solution

The fourth proportional to 1,105.12, 1,657.42 and 324.91 is: 487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.12 : 1,657.42 = 324.91 : x
  2. Step 2: Convert to fraction form
    1,105.12/1,657.42 = 324.91/x
  3. Step 3: Cross multiply
    1,105.12x = 1,657.42 × 324.91
  4. Step 4: Simplify right side
    1,105.12x = 538,518.63
  5. Step 5: Solve for x
    x = 538,518.63/1,105.12
  6. Step 6: Final answer
    x = 487.29

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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.