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Finding the Fourth Proportional to 953.37, 1,428.03 and 827.01

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Solution

The fourth proportional to 953.37, 1,428.03 and 827.01 is: 1,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.37 : 1,428.03 = 827.01 : x
  2. Step 2: Convert to fraction form
    953.37/1,428.03 = 827.01/x
  3. Step 3: Cross multiply
    953.37x = 1,428.03 × 827.01
  4. Step 4: Simplify right side
    953.37x = 1,180,995.09
  5. Step 5: Solve for x
    x = 1,180,995.09/953.37
  6. Step 6: Final answer
    x = 1,238.76

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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.