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Finding the Fourth Proportional to 960.59, 1,439.41 and 647.07

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Solution

The fourth proportional to 960.59, 1,439.41 and 647.07 is: 969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.59 : 1,439.41 = 647.07 : x
  2. Step 2: Convert to fraction form
    960.59/1,439.41 = 647.07/x
  3. Step 3: Cross multiply
    960.59x = 1,439.41 × 647.07
  4. Step 4: Simplify right side
    960.59x = 931,399.03
  5. Step 5: Solve for x
    x = 931,399.03/960.59
  6. Step 6: Final answer
    x = 969.61

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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.