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Finding the Fourth Proportional to 851.52, 1,174.05 and 685.74

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Solution

The fourth proportional to 851.52, 1,174.05 and 685.74 is: 945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.52 : 1,174.05 = 685.74 : x
  2. Step 2: Convert to fraction form
    851.52/1,174.05 = 685.74/x
  3. Step 3: Cross multiply
    851.52x = 1,174.05 × 685.74
  4. Step 4: Simplify right side
    851.52x = 805,093.05
  5. Step 5: Solve for x
    x = 805,093.05/851.52
  6. Step 6: Final answer
    x = 945.48

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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.