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Finding the Fourth Proportional to 1,101.13, 1,651.80 and 398.52

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Solution

The fourth proportional to 1,101.13, 1,651.80 and 398.52 is: 597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.13 : 1,651.80 = 398.52 : x
  2. Step 2: Convert to fraction form
    1,101.13/1,651.80 = 398.52/x
  3. Step 3: Cross multiply
    1,101.13x = 1,651.80 × 398.52
  4. Step 4: Simplify right side
    1,101.13x = 658,265.08
  5. Step 5: Solve for x
    x = 658,265.08/1,101.13
  6. Step 6: Final answer
    x = 597.81

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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.