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Finding the Fourth Proportional to 953.40, 1,427.36 and 541.56

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Solution

The fourth proportional to 953.40, 1,427.36 and 541.56 is: 810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.40 : 1,427.36 = 541.56 : x
  2. Step 2: Convert to fraction form
    953.40/1,427.36 = 541.56/x
  3. Step 3: Cross multiply
    953.40x = 1,427.36 × 541.56
  4. Step 4: Simplify right side
    953.40x = 773,001.08
  5. Step 5: Solve for x
    x = 773,001.08/953.40
  6. Step 6: Final answer
    x = 810.78

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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.