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Finding the Fourth Proportional to 650.10, 896.29 and 453.27

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Solution

The fourth proportional to 650.10, 896.29 and 453.27 is: 624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.10 : 896.29 = 453.27 : x
  2. Step 2: Convert to fraction form
    650.10/896.29 = 453.27/x
  3. Step 3: Cross multiply
    650.10x = 896.29 × 453.27
  4. Step 4: Simplify right side
    650.10x = 406,260.24
  5. Step 5: Solve for x
    x = 406,260.24/650.10
  6. Step 6: Final answer
    x = 624.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.