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Finding the Fourth Proportional to 689.40, 950.71 and 453.50

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Solution

The fourth proportional to 689.40, 950.71 and 453.50 is: 625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 950.71 = 453.50 : x
  2. Step 2: Convert to fraction form
    689.40/950.71 = 453.50/x
  3. Step 3: Cross multiply
    689.40x = 950.71 × 453.50
  4. Step 4: Simplify right side
    689.40x = 431,146.99
  5. Step 5: Solve for x
    x = 431,146.99/689.40
  6. Step 6: Final answer
    x = 625.39

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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.