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Finding the Fourth Proportional to 960.06, 1,439.01 and 473.45

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Solution

The fourth proportional to 960.06, 1,439.01 and 473.45 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.06 : 1,439.01 = 473.45 : x
  2. Step 2: Convert to fraction form
    960.06/1,439.01 = 473.45/x
  3. Step 3: Cross multiply
    960.06x = 1,439.01 × 473.45
  4. Step 4: Simplify right side
    960.06x = 681,302.88
  5. Step 5: Solve for x
    x = 681,302.88/960.06
  6. Step 6: Final answer
    x = 709.65

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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.