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Finding the Fourth Proportional to 523.50, 725.65 and 514.79

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Solution

The fourth proportional to 523.50, 725.65 and 514.79 is: 713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 725.65 = 514.79 : x
  2. Step 2: Convert to fraction form
    523.50/725.65 = 514.79/x
  3. Step 3: Cross multiply
    523.50x = 725.65 × 514.79
  4. Step 4: Simplify right side
    523.50x = 373,553.74
  5. Step 5: Solve for x
    x = 373,553.74/523.50
  6. Step 6: Final answer
    x = 713.57

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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.