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Finding the Fourth Proportional to 1,100.14, 1,649.43 and 551.95

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Solution

The fourth proportional to 1,100.14, 1,649.43 and 551.95 is: 827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.14 : 1,649.43 = 551.95 : x
  2. Step 2: Convert to fraction form
    1,100.14/1,649.43 = 551.95/x
  3. Step 3: Cross multiply
    1,100.14x = 1,649.43 × 551.95
  4. Step 4: Simplify right side
    1,100.14x = 910,398.76
  5. Step 5: Solve for x
    x = 910,398.76/1,100.14
  6. Step 6: Final answer
    x = 827.53

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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.