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Finding the Fourth Proportional to 1,101.83, 1,652.70 and 408.22

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Solution

The fourth proportional to 1,101.83, 1,652.70 and 408.22 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.83 : 1,652.70 = 408.22 : x
  2. Step 2: Convert to fraction form
    1,101.83/1,652.70 = 408.22/x
  3. Step 3: Cross multiply
    1,101.83x = 1,652.70 × 408.22
  4. Step 4: Simplify right side
    1,101.83x = 674,654.89
  5. Step 5: Solve for x
    x = 674,654.89/1,101.83
  6. Step 6: Final answer
    x = 612.31

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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.