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Finding the Fourth Proportional to 1,101.57, 1,649.26 and 808.14

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Solution

The fourth proportional to 1,101.57, 1,649.26 and 808.14 is: 1,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.57 : 1,649.26 = 808.14 : x
  2. Step 2: Convert to fraction form
    1,101.57/1,649.26 = 808.14/x
  3. Step 3: Cross multiply
    1,101.57x = 1,649.26 × 808.14
  4. Step 4: Simplify right side
    1,101.57x = 1,332,840.17
  5. Step 5: Solve for x
    x = 1,332,840.17/1,101.57
  6. Step 6: Final answer
    x = 1,209.95

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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.