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Finding the Fourth Proportional to 968.29, 1,453.07 and 578

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Solution

The fourth proportional to 968.29, 1,453.07 and 578 is: 867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.29 : 1,453.07 = 578 : x
  2. Step 2: Convert to fraction form
    968.29/1,453.07 = 578/x
  3. Step 3: Cross multiply
    968.29x = 1,453.07 × 578
  4. Step 4: Simplify right side
    968.29x = 839,874.46
  5. Step 5: Solve for x
    x = 839,874.46/968.29
  6. Step 6: Final answer
    x = 867.38

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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.