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Finding the Fourth Proportional to 2,332.57, 3,498.39 and 689.15

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Solution

The fourth proportional to 2,332.57, 3,498.39 and 689.15 is: 1,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.57 : 3,498.39 = 689.15 : x
  2. Step 2: Convert to fraction form
    2,332.57/3,498.39 = 689.15/x
  3. Step 3: Cross multiply
    2,332.57x = 3,498.39 × 689.15
  4. Step 4: Simplify right side
    2,332.57x = 2,410,915.47
  5. Step 5: Solve for x
    x = 2,410,915.47/2,332.57
  6. Step 6: Final answer
    x = 1,033.59

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1.5x scale

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.