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Finding the Fourth Proportional to 519.13, 778.33 and 245.08

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Solution

The fourth proportional to 519.13, 778.33 and 245.08 is: 367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.13 : 778.33 = 245.08 : x
  2. Step 2: Convert to fraction form
    519.13/778.33 = 245.08/x
  3. Step 3: Cross multiply
    519.13x = 778.33 × 245.08
  4. Step 4: Simplify right side
    519.13x = 190,753.12
  5. Step 5: Solve for x
    x = 190,753.12/519.13
  6. Step 6: Final answer
    x = 367.45

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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.