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Finding the Fourth Proportional to 1,444.75, 1,992.95 and 885.49

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Solution

The fourth proportional to 1,444.75, 1,992.95 and 885.49 is: 1,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.75 : 1,992.95 = 885.49 : x
  2. Step 2: Convert to fraction form
    1,444.75/1,992.95 = 885.49/x
  3. Step 3: Cross multiply
    1,444.75x = 1,992.95 × 885.49
  4. Step 4: Simplify right side
    1,444.75x = 1,764,732.87
  5. Step 5: Solve for x
    x = 1,764,732.87/1,444.75
  6. Step 6: Final answer
    x = 1,221.48

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.