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Finding the Fourth Proportional to 1,463.57, 2,018.97 and 991.49

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Solution

The fourth proportional to 1,463.57, 2,018.97 and 991.49 is: 1,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.57 : 2,018.97 = 991.49 : x
  2. Step 2: Convert to fraction form
    1,463.57/2,018.97 = 991.49/x
  3. Step 3: Cross multiply
    1,463.57x = 2,018.97 × 991.49
  4. Step 4: Simplify right side
    1,463.57x = 2,001,788.57
  5. Step 5: Solve for x
    x = 2,001,788.57/1,463.57
  6. Step 6: Final answer
    x = 1,367.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.