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Finding the Fourth Proportional to 689.29, 1,033.95 and 543.83

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Solution

The fourth proportional to 689.29, 1,033.95 and 543.83 is: 815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.29 : 1,033.95 = 543.83 : x
  2. Step 2: Convert to fraction form
    689.29/1,033.95 = 543.83/x
  3. Step 3: Cross multiply
    689.29x = 1,033.95 × 543.83
  4. Step 4: Simplify right side
    689.29x = 562,298.57
  5. Step 5: Solve for x
    x = 562,298.57/689.29
  6. Step 6: Final answer
    x = 815.76

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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.