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Finding the Fourth Proportional to 968, 1,452.24 and 284

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Solution

The fourth proportional to 968, 1,452.24 and 284 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    968 : 1,452.24 = 284 : x
  2. Step 2: Convert to fraction form
    968/1,452.24 = 284/x
  3. Step 3: Cross multiply
    968x = 1,452.24 × 284
  4. Step 4: Simplify right side
    968x = 412,436.16
  5. Step 5: Solve for x
    x = 412,436.16/968
  6. Step 6: Final answer
    x = 426.07

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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.