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Finding the Fourth Proportional to 523.01, 780.42 and 519.98

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Solution

The fourth proportional to 523.01, 780.42 and 519.98 is: 775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.01 : 780.42 = 519.98 : x
  2. Step 2: Convert to fraction form
    523.01/780.42 = 519.98/x
  3. Step 3: Cross multiply
    523.01x = 780.42 × 519.98
  4. Step 4: Simplify right side
    523.01x = 405,800.84
  5. Step 5: Solve for x
    x = 405,800.84/523.01
  6. Step 6: Final answer
    x = 775.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.