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Finding the Fourth Proportional to 960.00, 1,439.93 and 412.19

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Solution

The fourth proportional to 960.00, 1,439.93 and 412.19 is: 618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.00 : 1,439.93 = 412.19 : x
  2. Step 2: Convert to fraction form
    960.00/1,439.93 = 412.19/x
  3. Step 3: Cross multiply
    960.00x = 1,439.93 × 412.19
  4. Step 4: Simplify right side
    960.00x = 593,521.66
  5. Step 5: Solve for x
    x = 593,521.66/960.00
  6. Step 6: Final answer
    x = 618.25

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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.