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Finding the Fourth Proportional to 519.70, 779.74 and 288.86

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Solution

The fourth proportional to 519.70, 779.74 and 288.86 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 779.74 = 288.86 : x
  2. Step 2: Convert to fraction form
    519.70/779.74 = 288.86/x
  3. Step 3: Cross multiply
    519.70x = 779.74 × 288.86
  4. Step 4: Simplify right side
    519.70x = 225,235.70
  5. Step 5: Solve for x
    x = 225,235.70/519.70
  6. Step 6: Final answer
    x = 433.40

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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.