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Finding the Fourth Proportional to 523.93, 723.08 and 314.22

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Solution

The fourth proportional to 523.93, 723.08 and 314.22 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.93 : 723.08 = 314.22 : x
  2. Step 2: Convert to fraction form
    523.93/723.08 = 314.22/x
  3. Step 3: Cross multiply
    523.93x = 723.08 × 314.22
  4. Step 4: Simplify right side
    523.93x = 227,204.68
  5. Step 5: Solve for x
    x = 227,204.68/523.93
  6. Step 6: Final answer
    x = 433.66

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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.