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Finding the Fourth Proportional to 1,553.32, 2,143.57 and 854.69

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Solution

The fourth proportional to 1,553.32, 2,143.57 and 854.69 is: 1,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.32 : 2,143.57 = 854.69 : x
  2. Step 2: Convert to fraction form
    1,553.32/2,143.57 = 854.69/x
  3. Step 3: Cross multiply
    1,553.32x = 2,143.57 × 854.69
  4. Step 4: Simplify right side
    1,553.32x = 1,832,087.84
  5. Step 5: Solve for x
    x = 1,832,087.84/1,553.32
  6. Step 6: Final answer
    x = 1,179.47

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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.