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Finding the Fourth Proportional to 524.88, 780.66 and 519.12

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Solution

The fourth proportional to 524.88, 780.66 and 519.12 is: 772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 780.66 = 519.12 : x
  2. Step 2: Convert to fraction form
    524.88/780.66 = 519.12/x
  3. Step 3: Cross multiply
    524.88x = 780.66 × 519.12
  4. Step 4: Simplify right side
    524.88x = 405,256.22
  5. Step 5: Solve for x
    x = 405,256.22/524.88
  6. Step 6: Final answer
    x = 772.09

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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.