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Finding the Fourth Proportional to 960.44, 1,439.57 and 473.83

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Solution

The fourth proportional to 960.44, 1,439.57 and 473.83 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.44 : 1,439.57 = 473.83 : x
  2. Step 2: Convert to fraction form
    960.44/1,439.57 = 473.83/x
  3. Step 3: Cross multiply
    960.44x = 1,439.57 × 473.83
  4. Step 4: Simplify right side
    960.44x = 682,109.04
  5. Step 5: Solve for x
    x = 682,109.04/960.44
  6. Step 6: Final answer
    x = 710.21

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1.5x scale

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.