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Finding the Fourth Proportional to 689.94, 952.18 and 453.90

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Solution

The fourth proportional to 689.94, 952.18 and 453.90 is: 626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.94 : 952.18 = 453.90 : x
  2. Step 2: Convert to fraction form
    689.94/952.18 = 453.90/x
  3. Step 3: Cross multiply
    689.94x = 952.18 × 453.90
  4. Step 4: Simplify right side
    689.94x = 432,194.50
  5. Step 5: Solve for x
    x = 432,194.50/689.94
  6. Step 6: Final answer
    x = 626.42

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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.