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Finding the Fourth Proportional to 1,128.10, 1,692.12 and 579.97

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Solution

The fourth proportional to 1,128.10, 1,692.12 and 579.97 is: 869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.10 : 1,692.12 = 579.97 : x
  2. Step 2: Convert to fraction form
    1,128.10/1,692.12 = 579.97/x
  3. Step 3: Cross multiply
    1,128.10x = 1,692.12 × 579.97
  4. Step 4: Simplify right side
    1,128.10x = 981,378.84
  5. Step 5: Solve for x
    x = 981,378.84/1,128.10
  6. Step 6: Final answer
    x = 869.94

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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.