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Finding the Fourth Proportional to 522.89, 780.24 and 519.85

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Solution

The fourth proportional to 522.89, 780.24 and 519.85 is: 775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.89 : 780.24 = 519.85 : x
  2. Step 2: Convert to fraction form
    522.89/780.24 = 519.85/x
  3. Step 3: Cross multiply
    522.89x = 780.24 × 519.85
  4. Step 4: Simplify right side
    522.89x = 405,607.76
  5. Step 5: Solve for x
    x = 405,607.76/522.89
  6. Step 6: Final answer
    x = 775.70

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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.