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Finding the Fourth Proportional to 452.94, 679.34 and 233.70

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Solution

The fourth proportional to 452.94, 679.34 and 233.70 is: 350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.94 : 679.34 = 233.70 : x
  2. Step 2: Convert to fraction form
    452.94/679.34 = 233.70/x
  3. Step 3: Cross multiply
    452.94x = 679.34 × 233.70
  4. Step 4: Simplify right side
    452.94x = 158,761.76
  5. Step 5: Solve for x
    x = 158,761.76/452.94
  6. Step 6: Final answer
    x = 350.51

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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.