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Finding the Fourth Proportional to 523.35, 722.17 and 313.52

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Solution

The fourth proportional to 523.35, 722.17 and 313.52 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 722.17 = 313.52 : x
  2. Step 2: Convert to fraction form
    523.35/722.17 = 313.52/x
  3. Step 3: Cross multiply
    523.35x = 722.17 × 313.52
  4. Step 4: Simplify right side
    523.35x = 226,418.24
  5. Step 5: Solve for x
    x = 226,418.24/523.35
  6. Step 6: Final answer
    x = 432.63

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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.