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Finding the Fourth Proportional to 960.64, 1,439.60 and 740.42

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Solution

The fourth proportional to 960.64, 1,439.60 and 740.42 is: 1,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.64 : 1,439.60 = 740.42 : x
  2. Step 2: Convert to fraction form
    960.64/1,439.60 = 740.42/x
  3. Step 3: Cross multiply
    960.64x = 1,439.60 × 740.42
  4. Step 4: Simplify right side
    960.64x = 1,065,908.63
  5. Step 5: Solve for x
    x = 1,065,908.63/960.64
  6. Step 6: Final answer
    x = 1,109.58

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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.