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Finding the Fourth Proportional to 689.74, 1,033.59 and 515.59

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Solution

The fourth proportional to 689.74, 1,033.59 and 515.59 is: 772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.74 : 1,033.59 = 515.59 : x
  2. Step 2: Convert to fraction form
    689.74/1,033.59 = 515.59/x
  3. Step 3: Cross multiply
    689.74x = 1,033.59 × 515.59
  4. Step 4: Simplify right side
    689.74x = 532,903.50
  5. Step 5: Solve for x
    x = 532,903.50/689.74
  6. Step 6: Final answer
    x = 772.62

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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.