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Finding the Fourth Proportional to 1,169.95, 1,753.10 and 553.54

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Solution

The fourth proportional to 1,169.95, 1,753.10 and 553.54 is: 829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.95 : 1,753.10 = 553.54 : x
  2. Step 2: Convert to fraction form
    1,169.95/1,753.10 = 553.54/x
  3. Step 3: Cross multiply
    1,169.95x = 1,753.10 × 553.54
  4. Step 4: Simplify right side
    1,169.95x = 970,410.97
  5. Step 5: Solve for x
    x = 970,410.97/1,169.95
  6. Step 6: Final answer
    x = 829.45

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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.