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Finding the Fourth Proportional to 1,076.17, 1,613.43 and 459.49

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Solution

The fourth proportional to 1,076.17, 1,613.43 and 459.49 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.17 : 1,613.43 = 459.49 : x
  2. Step 2: Convert to fraction form
    1,076.17/1,613.43 = 459.49/x
  3. Step 3: Cross multiply
    1,076.17x = 1,613.43 × 459.49
  4. Step 4: Simplify right side
    1,076.17x = 741,354.95
  5. Step 5: Solve for x
    x = 741,354.95/1,076.17
  6. Step 6: Final answer
    x = 688.88

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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.