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Finding the Fourth Proportional to 523.74, 725.82 and 514.02

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Solution

The fourth proportional to 523.74, 725.82 and 514.02 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 725.82 = 514.02 : x
  2. Step 2: Convert to fraction form
    523.74/725.82 = 514.02/x
  3. Step 3: Cross multiply
    523.74x = 725.82 × 514.02
  4. Step 4: Simplify right side
    523.74x = 373,086.00
  5. Step 5: Solve for x
    x = 373,086.00/523.74
  6. Step 6: Final answer
    x = 712.35

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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.