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Finding the Fourth Proportional to 1,128.40, 1,692.20 and 461.28

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Solution

The fourth proportional to 1,128.40, 1,692.20 and 461.28 is: 691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.40 : 1,692.20 = 461.28 : x
  2. Step 2: Convert to fraction form
    1,128.40/1,692.20 = 461.28/x
  3. Step 3: Cross multiply
    1,128.40x = 1,692.20 × 461.28
  4. Step 4: Simplify right side
    1,128.40x = 780,578.02
  5. Step 5: Solve for x
    x = 780,578.02/1,128.40
  6. Step 6: Final answer
    x = 691.76

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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.