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Finding the Fourth Proportional to 960.17, 1,439.29 and 374.81

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Solution

The fourth proportional to 960.17, 1,439.29 and 374.81 is: 561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.17 : 1,439.29 = 374.81 : x
  2. Step 2: Convert to fraction form
    960.17/1,439.29 = 374.81/x
  3. Step 3: Cross multiply
    960.17x = 1,439.29 × 374.81
  4. Step 4: Simplify right side
    960.17x = 539,458.41
  5. Step 5: Solve for x
    x = 539,458.41/960.17
  6. Step 6: Final answer
    x = 561.84

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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.