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Finding the Fourth Proportional to 524.54, 788.31 and 519.05

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Solution

The fourth proportional to 524.54, 788.31 and 519.05 is: 780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.54 : 788.31 = 519.05 : x
  2. Step 2: Convert to fraction form
    524.54/788.31 = 519.05/x
  3. Step 3: Cross multiply
    524.54x = 788.31 × 519.05
  4. Step 4: Simplify right side
    524.54x = 409,168.36
  5. Step 5: Solve for x
    x = 409,168.36/524.54
  6. Step 6: Final answer
    x = 780.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.