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Finding the Fourth Proportional to 1,170.31, 1,755.98 and 554.46

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Solution

The fourth proportional to 1,170.31, 1,755.98 and 554.46 is: 831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.31 : 1,755.98 = 554.46 : x
  2. Step 2: Convert to fraction form
    1,170.31/1,755.98 = 554.46/x
  3. Step 3: Cross multiply
    1,170.31x = 1,755.98 × 554.46
  4. Step 4: Simplify right side
    1,170.31x = 973,616.97
  5. Step 5: Solve for x
    x = 973,616.97/1,170.31
  6. Step 6: Final answer
    x = 831.93

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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.