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Finding the Fourth Proportional to 689.50, 1,033.98 and 342.58

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Solution

The fourth proportional to 689.50, 1,033.98 and 342.58 is: 513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.50 : 1,033.98 = 342.58 : x
  2. Step 2: Convert to fraction form
    689.50/1,033.98 = 342.58/x
  3. Step 3: Cross multiply
    689.50x = 1,033.98 × 342.58
  4. Step 4: Simplify right side
    689.50x = 354,220.87
  5. Step 5: Solve for x
    x = 354,220.87/689.50
  6. Step 6: Final answer
    x = 513.74

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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.