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Finding the Fourth Proportional to 960.22, 1,438.98 and 472.78

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Solution

The fourth proportional to 960.22, 1,438.98 and 472.78 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.22 : 1,438.98 = 472.78 : x
  2. Step 2: Convert to fraction form
    960.22/1,438.98 = 472.78/x
  3. Step 3: Cross multiply
    960.22x = 1,438.98 × 472.78
  4. Step 4: Simplify right side
    960.22x = 680,320.96
  5. Step 5: Solve for x
    x = 680,320.96/960.22
  6. Step 6: Final answer
    x = 708.51

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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.