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Finding the Fourth Proportional to 960.02, 1,440.42 and 412.20

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Solution

The fourth proportional to 960.02, 1,440.42 and 412.20 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.02 : 1,440.42 = 412.20 : x
  2. Step 2: Convert to fraction form
    960.02/1,440.42 = 412.20/x
  3. Step 3: Cross multiply
    960.02x = 1,440.42 × 412.20
  4. Step 4: Simplify right side
    960.02x = 593,741.12
  5. Step 5: Solve for x
    x = 593,741.12/960.02
  6. Step 6: Final answer
    x = 618.47

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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.