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Finding the Fourth Proportional to 849.38, 1,171.50 and 569.54

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Solution

The fourth proportional to 849.38, 1,171.50 and 569.54 is: 785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.38 : 1,171.50 = 569.54 : x
  2. Step 2: Convert to fraction form
    849.38/1,171.50 = 569.54/x
  3. Step 3: Cross multiply
    849.38x = 1,171.50 × 569.54
  4. Step 4: Simplify right side
    849.38x = 667,216.11
  5. Step 5: Solve for x
    x = 667,216.11/849.38
  6. Step 6: Final answer
    x = 785.53

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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.