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Finding the Fourth Proportional to 519.78, 784.56 and 519.78

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Solution

The fourth proportional to 519.78, 784.56 and 519.78 is: 784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 784.56 = 519.78 : x
  2. Step 2: Convert to fraction form
    519.78/784.56 = 519.78/x
  3. Step 3: Cross multiply
    519.78x = 784.56 × 519.78
  4. Step 4: Simplify right side
    519.78x = 407,798.60
  5. Step 5: Solve for x
    x = 407,798.60/519.78
  6. Step 6: Final answer
    x = 784.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.