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Finding the Fourth Proportional to 689.31, 1,033.36 and 506.45

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Solution

The fourth proportional to 689.31, 1,033.36 and 506.45 is: 759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.31 : 1,033.36 = 506.45 : x
  2. Step 2: Convert to fraction form
    689.31/1,033.36 = 506.45/x
  3. Step 3: Cross multiply
    689.31x = 1,033.36 × 506.45
  4. Step 4: Simplify right side
    689.31x = 523,346.49
  5. Step 5: Solve for x
    x = 523,346.49/689.31
  6. Step 6: Final answer
    x = 759.23

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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.