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Finding the Fourth Proportional to 523.45, 722.89 and 431.11

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Solution

The fourth proportional to 523.45, 722.89 and 431.11 is: 595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.45 : 722.89 = 431.11 : x
  2. Step 2: Convert to fraction form
    523.45/722.89 = 431.11/x
  3. Step 3: Cross multiply
    523.45x = 722.89 × 431.11
  4. Step 4: Simplify right side
    523.45x = 311,645.11
  5. Step 5: Solve for x
    x = 311,645.11/523.45
  6. Step 6: Final answer
    x = 595.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.