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Finding the Fourth Proportional to 689.65, 1,033.66 and 342.88

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Solution

The fourth proportional to 689.65, 1,033.66 and 342.88 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.65 : 1,033.66 = 342.88 : x
  2. Step 2: Convert to fraction form
    689.65/1,033.66 = 342.88/x
  3. Step 3: Cross multiply
    689.65x = 1,033.66 × 342.88
  4. Step 4: Simplify right side
    689.65x = 354,421.34
  5. Step 5: Solve for x
    x = 354,421.34/689.65
  6. Step 6: Final answer
    x = 513.91

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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.