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Finding the Fourth Proportional to 689.36, 950.98 and 453.22

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Solution

The fourth proportional to 689.36, 950.98 and 453.22 is: 625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.36 : 950.98 = 453.22 : x
  2. Step 2: Convert to fraction form
    689.36/950.98 = 453.22/x
  3. Step 3: Cross multiply
    689.36x = 950.98 × 453.22
  4. Step 4: Simplify right side
    689.36x = 431,003.16
  5. Step 5: Solve for x
    x = 431,003.16/689.36
  6. Step 6: Final answer
    x = 625.22

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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.