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Finding the Fourth Proportional to 953.21, 1,322.15 and 927.92

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Solution

The fourth proportional to 953.21, 1,322.15 and 927.92 is: 1,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.21 : 1,322.15 = 927.92 : x
  2. Step 2: Convert to fraction form
    953.21/1,322.15 = 927.92/x
  3. Step 3: Cross multiply
    953.21x = 1,322.15 × 927.92
  4. Step 4: Simplify right side
    953.21x = 1,226,842.82
  5. Step 5: Solve for x
    x = 1,226,842.82/953.21
  6. Step 6: Final answer
    x = 1,287.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.