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Finding the Fourth Proportional to 1,588.08, 2,191.49 and 889.42

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Solution

The fourth proportional to 1,588.08, 2,191.49 and 889.42 is: 1,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.08 : 2,191.49 = 889.42 : x
  2. Step 2: Convert to fraction form
    1,588.08/2,191.49 = 889.42/x
  3. Step 3: Cross multiply
    1,588.08x = 2,191.49 × 889.42
  4. Step 4: Simplify right side
    1,588.08x = 1,949,155.04
  5. Step 5: Solve for x
    x = 1,949,155.04/1,588.08
  6. Step 6: Final answer
    x = 1,227.37

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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.