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Finding the Fourth Proportional to 523.89, 722.61 and 313.92

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Solution

The fourth proportional to 523.89, 722.61 and 313.92 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.89 : 722.61 = 313.92 : x
  2. Step 2: Convert to fraction form
    523.89/722.61 = 313.92/x
  3. Step 3: Cross multiply
    523.89x = 722.61 × 313.92
  4. Step 4: Simplify right side
    523.89x = 226,841.73
  5. Step 5: Solve for x
    x = 226,841.73/523.89
  6. Step 6: Final answer
    x = 432.99

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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.