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Finding the Fourth Proportional to 1,128.78, 1,692.36 and 552.06

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Solution

The fourth proportional to 1,128.78, 1,692.36 and 552.06 is: 827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.78 : 1,692.36 = 552.06 : x
  2. Step 2: Convert to fraction form
    1,128.78/1,692.36 = 552.06/x
  3. Step 3: Cross multiply
    1,128.78x = 1,692.36 × 552.06
  4. Step 4: Simplify right side
    1,128.78x = 934,284.26
  5. Step 5: Solve for x
    x = 934,284.26/1,128.78
  6. Step 6: Final answer
    x = 827.69

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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.