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Finding the Fourth Proportional to 888.22, 1,226.12 and 569.60

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Solution

The fourth proportional to 888.22, 1,226.12 and 569.60 is: 786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.22 : 1,226.12 = 569.60 : x
  2. Step 2: Convert to fraction form
    888.22/1,226.12 = 569.60/x
  3. Step 3: Cross multiply
    888.22x = 1,226.12 × 569.60
  4. Step 4: Simplify right side
    888.22x = 698,397.95
  5. Step 5: Solve for x
    x = 698,397.95/888.22
  6. Step 6: Final answer
    x = 786.29

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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.