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Finding the Fourth Proportional to 689.67, 1,033.22 and 429.53

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Solution

The fourth proportional to 689.67, 1,033.22 and 429.53 is: 643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.67 : 1,033.22 = 429.53 : x
  2. Step 2: Convert to fraction form
    689.67/1,033.22 = 429.53/x
  3. Step 3: Cross multiply
    689.67x = 1,033.22 × 429.53
  4. Step 4: Simplify right side
    689.67x = 443,794.89
  5. Step 5: Solve for x
    x = 443,794.89/689.67
  6. Step 6: Final answer
    x = 643.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.