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Finding the Fourth Proportional to 523.49, 725.76 and 494.33

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Solution

The fourth proportional to 523.49, 725.76 and 494.33 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 725.76 = 494.33 : x
  2. Step 2: Convert to fraction form
    523.49/725.76 = 494.33/x
  3. Step 3: Cross multiply
    523.49x = 725.76 × 494.33
  4. Step 4: Simplify right side
    523.49x = 358,763.17
  5. Step 5: Solve for x
    x = 358,763.17/523.49
  6. Step 6: Final answer
    x = 685.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.