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Finding the Fourth Proportional to 953.84, 1,321.86 and 936.56

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Solution

The fourth proportional to 953.84, 1,321.86 and 936.56 is: 1,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.84 : 1,321.86 = 936.56 : x
  2. Step 2: Convert to fraction form
    953.84/1,321.86 = 936.56/x
  3. Step 3: Cross multiply
    953.84x = 1,321.86 × 936.56
  4. Step 4: Simplify right side
    953.84x = 1,238,001.20
  5. Step 5: Solve for x
    x = 1,238,001.20/953.84
  6. Step 6: Final answer
    x = 1,297.91

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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.