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Finding the Fourth Proportional to 1,440.91, 1,988.85 and 851.86

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Solution

The fourth proportional to 1,440.91, 1,988.85 and 851.86 is: 1,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.91 : 1,988.85 = 851.86 : x
  2. Step 2: Convert to fraction form
    1,440.91/1,988.85 = 851.86/x
  3. Step 3: Cross multiply
    1,440.91x = 1,988.85 × 851.86
  4. Step 4: Simplify right side
    1,440.91x = 1,694,221.76
  5. Step 5: Solve for x
    x = 1,694,221.76/1,440.91
  6. Step 6: Final answer
    x = 1,175.80

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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.