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Finding the Fourth Proportional to 452.13, 679.34 and 433.91

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Solution

The fourth proportional to 452.13, 679.34 and 433.91 is: 651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 679.34 = 433.91 : x
  2. Step 2: Convert to fraction form
    452.13/679.34 = 433.91/x
  3. Step 3: Cross multiply
    452.13x = 679.34 × 433.91
  4. Step 4: Simplify right side
    452.13x = 294,770.11
  5. Step 5: Solve for x
    x = 294,770.11/452.13
  6. Step 6: Final answer
    x = 651.96

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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.