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Finding the Fourth Proportional to 1,336.32, 2,003.40 and 686.70

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Solution

The fourth proportional to 1,336.32, 2,003.40 and 686.70 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.32 : 2,003.40 = 686.70 : x
  2. Step 2: Convert to fraction form
    1,336.32/2,003.40 = 686.70/x
  3. Step 3: Cross multiply
    1,336.32x = 2,003.40 × 686.70
  4. Step 4: Simplify right side
    1,336.32x = 1,375,734.78
  5. Step 5: Solve for x
    x = 1,375,734.78/1,336.32
  6. Step 6: Final answer
    x = 1,029.50

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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.