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Finding the Fourth Proportional to 968.14, 1,450.81 and 578.30

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Solution

The fourth proportional to 968.14, 1,450.81 and 578.30 is: 866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.14 : 1,450.81 = 578.30 : x
  2. Step 2: Convert to fraction form
    968.14/1,450.81 = 578.30/x
  3. Step 3: Cross multiply
    968.14x = 1,450.81 × 578.30
  4. Step 4: Simplify right side
    968.14x = 839,003.42
  5. Step 5: Solve for x
    x = 839,003.42/968.14
  6. Step 6: Final answer
    x = 866.61

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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.