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Finding the Fourth Proportional to 519.45, 777.87 and 470.14

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Solution

The fourth proportional to 519.45, 777.87 and 470.14 is: 704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.45 : 777.87 = 470.14 : x
  2. Step 2: Convert to fraction form
    519.45/777.87 = 470.14/x
  3. Step 3: Cross multiply
    519.45x = 777.87 × 470.14
  4. Step 4: Simplify right side
    519.45x = 365,705.86
  5. Step 5: Solve for x
    x = 365,705.86/519.45
  6. Step 6: Final answer
    x = 704.03

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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.