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Finding the Fourth Proportional to 1,440.87, 1,987.38 and 998.91

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Solution

The fourth proportional to 1,440.87, 1,987.38 and 998.91 is: 1,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.87 : 1,987.38 = 998.91 : x
  2. Step 2: Convert to fraction form
    1,440.87/1,987.38 = 998.91/x
  3. Step 3: Cross multiply
    1,440.87x = 1,987.38 × 998.91
  4. Step 4: Simplify right side
    1,440.87x = 1,985,213.76
  5. Step 5: Solve for x
    x = 1,985,213.76/1,440.87
  6. Step 6: Final answer
    x = 1,377.79

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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.