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Finding the Fourth Proportional to 1,440.85, 1,990.21 and 1,102.70

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Solution

The fourth proportional to 1,440.85, 1,990.21 and 1,102.70 is: 1,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.85 : 1,990.21 = 1,102.70 : x
  2. Step 2: Convert to fraction form
    1,440.85/1,990.21 = 1,102.70/x
  3. Step 3: Cross multiply
    1,440.85x = 1,990.21 × 1,102.70
  4. Step 4: Simplify right side
    1,440.85x = 2,194,594.62
  5. Step 5: Solve for x
    x = 2,194,594.62/1,440.85
  6. Step 6: Final answer
    x = 1,523.12

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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.