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Finding the Fourth Proportional to 960.57, 1,438.97 and 893.07

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Solution

The fourth proportional to 960.57, 1,438.97 and 893.07 is: 1,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.57 : 1,438.97 = 893.07 : x
  2. Step 2: Convert to fraction form
    960.57/1,438.97 = 893.07/x
  3. Step 3: Cross multiply
    960.57x = 1,438.97 × 893.07
  4. Step 4: Simplify right side
    960.57x = 1,285,096.47
  5. Step 5: Solve for x
    x = 1,285,096.47/960.57
  6. Step 6: Final answer
    x = 1,337.85

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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.