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Finding the Fourth Proportional to 1,339.70, 1,994.90 and 1,290.49

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Solution

The fourth proportional to 1,339.70, 1,994.90 and 1,290.49 is: 1,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.70 : 1,994.90 = 1,290.49 : x
  2. Step 2: Convert to fraction form
    1,339.70/1,994.90 = 1,290.49/x
  3. Step 3: Cross multiply
    1,339.70x = 1,994.90 × 1,290.49
  4. Step 4: Simplify right side
    1,339.70x = 2,574,387.06
  5. Step 5: Solve for x
    x = 2,574,387.06/1,339.70
  6. Step 6: Final answer
    x = 1,921.62

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.