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Finding the Fourth Proportional to 1,588.42, 2,191.81 and 889.79

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Solution

The fourth proportional to 1,588.42, 2,191.81 and 889.79 is: 1,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.42 : 2,191.81 = 889.79 : x
  2. Step 2: Convert to fraction form
    1,588.42/2,191.81 = 889.79/x
  3. Step 3: Cross multiply
    1,588.42x = 2,191.81 × 889.79
  4. Step 4: Simplify right side
    1,588.42x = 1,950,248.40
  5. Step 5: Solve for x
    x = 1,950,248.40/1,588.42
  6. Step 6: Final answer
    x = 1,227.80

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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.