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Finding the Fourth Proportional to 722.49, 1,082.87 and 283.21

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Solution

The fourth proportional to 722.49, 1,082.87 and 283.21 is: 424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.49 : 1,082.87 = 283.21 : x
  2. Step 2: Convert to fraction form
    722.49/1,082.87 = 283.21/x
  3. Step 3: Cross multiply
    722.49x = 1,082.87 × 283.21
  4. Step 4: Simplify right side
    722.49x = 306,682.64
  5. Step 5: Solve for x
    x = 306,682.64/722.49
  6. Step 6: Final answer
    x = 424.48

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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.