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Finding the Fourth Proportional to 949.85, 1,424.58 and 539.78

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Solution

The fourth proportional to 949.85, 1,424.58 and 539.78 is: 809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.85 : 1,424.58 = 539.78 : x
  2. Step 2: Convert to fraction form
    949.85/1,424.58 = 539.78/x
  3. Step 3: Cross multiply
    949.85x = 1,424.58 × 539.78
  4. Step 4: Simplify right side
    949.85x = 768,959.79
  5. Step 5: Solve for x
    x = 768,959.79/949.85
  6. Step 6: Final answer
    x = 809.56

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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.