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Finding the Fourth Proportional to 853.88, 1,174.43 and 687.71

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Solution

The fourth proportional to 853.88, 1,174.43 and 687.71 is: 945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,174.43 = 687.71 : x
  2. Step 2: Convert to fraction form
    853.88/1,174.43 = 687.71/x
  3. Step 3: Cross multiply
    853.88x = 1,174.43 × 687.71
  4. Step 4: Simplify right side
    853.88x = 807,657.94
  5. Step 5: Solve for x
    x = 807,657.94/853.88
  6. Step 6: Final answer
    x = 945.87

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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.