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Finding the Fourth Proportional to 950.84, 1,427.92 and 540.78

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Solution

The fourth proportional to 950.84, 1,427.92 and 540.78 is: 812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.84 : 1,427.92 = 540.78 : x
  2. Step 2: Convert to fraction form
    950.84/1,427.92 = 540.78/x
  3. Step 3: Cross multiply
    950.84x = 1,427.92 × 540.78
  4. Step 4: Simplify right side
    950.84x = 772,190.58
  5. Step 5: Solve for x
    x = 772,190.58/950.84
  6. Step 6: Final answer
    x = 812.11

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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.