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Finding the Fourth Proportional to 519.45, 778.56 and 288.28

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Solution

The fourth proportional to 519.45, 778.56 and 288.28 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.45 : 778.56 = 288.28 : x
  2. Step 2: Convert to fraction form
    519.45/778.56 = 288.28/x
  3. Step 3: Cross multiply
    519.45x = 778.56 × 288.28
  4. Step 4: Simplify right side
    519.45x = 224,443.28
  5. Step 5: Solve for x
    x = 224,443.28/519.45
  6. Step 6: Final answer
    x = 432.08

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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.