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Finding the Fourth Proportional to 523.88, 722.86 and 314.12

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Solution

The fourth proportional to 523.88, 722.86 and 314.12 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.88 : 722.86 = 314.12 : x
  2. Step 2: Convert to fraction form
    523.88/722.86 = 314.12/x
  3. Step 3: Cross multiply
    523.88x = 722.86 × 314.12
  4. Step 4: Simplify right side
    523.88x = 227,064.78
  5. Step 5: Solve for x
    x = 227,064.78/523.88
  6. Step 6: Final answer
    x = 433.43

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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.