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Finding the Fourth Proportional to 800.34, 1,201.31 and 569.49

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Solution

The fourth proportional to 800.34, 1,201.31 and 569.49 is: 854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.34 : 1,201.31 = 569.49 : x
  2. Step 2: Convert to fraction form
    800.34/1,201.31 = 569.49/x
  3. Step 3: Cross multiply
    800.34x = 1,201.31 × 569.49
  4. Step 4: Simplify right side
    800.34x = 684,134.03
  5. Step 5: Solve for x
    x = 684,134.03/800.34
  6. Step 6: Final answer
    x = 854.80

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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.