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Finding the Fourth Proportional to 689.85, 951.40 and 453.53

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Solution

The fourth proportional to 689.85, 951.40 and 453.53 is: 625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.85 : 951.40 = 453.53 : x
  2. Step 2: Convert to fraction form
    689.85/951.40 = 453.53/x
  3. Step 3: Cross multiply
    689.85x = 951.40 × 453.53
  4. Step 4: Simplify right side
    689.85x = 431,488.44
  5. Step 5: Solve for x
    x = 431,488.44/689.85
  6. Step 6: Final answer
    x = 625.48

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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.