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Finding the Fourth Proportional to 753.11, 1,129.77 and 233.15

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Solution

The fourth proportional to 753.11, 1,129.77 and 233.15 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.11 : 1,129.77 = 233.15 : x
  2. Step 2: Convert to fraction form
    753.11/1,129.77 = 233.15/x
  3. Step 3: Cross multiply
    753.11x = 1,129.77 × 233.15
  4. Step 4: Simplify right side
    753.11x = 263,408.70
  5. Step 5: Solve for x
    x = 263,408.70/753.11
  6. Step 6: Final answer
    x = 349.76

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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.