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Finding the Fourth Proportional to 1,169.88, 1,755.33 and 554.02

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Solution

The fourth proportional to 1,169.88, 1,755.33 and 554.02 is: 831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.88 : 1,755.33 = 554.02 : x
  2. Step 2: Convert to fraction form
    1,169.88/1,755.33 = 554.02/x
  3. Step 3: Cross multiply
    1,169.88x = 1,755.33 × 554.02
  4. Step 4: Simplify right side
    1,169.88x = 972,487.93
  5. Step 5: Solve for x
    x = 972,487.93/1,169.88
  6. Step 6: Final answer
    x = 831.27

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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.