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Finding the Fourth Proportional to 1,085.92, 1,628.88 and 893.14

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Solution

The fourth proportional to 1,085.92, 1,628.88 and 893.14 is: 1,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.92 : 1,628.88 = 893.14 : x
  2. Step 2: Convert to fraction form
    1,085.92/1,628.88 = 893.14/x
  3. Step 3: Cross multiply
    1,085.92x = 1,628.88 × 893.14
  4. Step 4: Simplify right side
    1,085.92x = 1,454,817.88
  5. Step 5: Solve for x
    x = 1,454,817.88/1,085.92
  6. Step 6: Final answer
    x = 1,339.71

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.