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Finding the Fourth Proportional to 952.78, 1,427.90 and 541.76

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Solution

The fourth proportional to 952.78, 1,427.90 and 541.76 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.78 : 1,427.90 = 541.76 : x
  2. Step 2: Convert to fraction form
    952.78/1,427.90 = 541.76/x
  3. Step 3: Cross multiply
    952.78x = 1,427.90 × 541.76
  4. Step 4: Simplify right side
    952.78x = 773,579.10
  5. Step 5: Solve for x
    x = 773,579.10/952.78
  6. Step 6: Final answer
    x = 811.92

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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.