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Finding the Fourth Proportional to 850.57, 1,174.31 and 685.74

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Solution

The fourth proportional to 850.57, 1,174.31 and 685.74 is: 946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.57 : 1,174.31 = 685.74 : x
  2. Step 2: Convert to fraction form
    850.57/1,174.31 = 685.74/x
  3. Step 3: Cross multiply
    850.57x = 1,174.31 × 685.74
  4. Step 4: Simplify right side
    850.57x = 805,271.34
  5. Step 5: Solve for x
    x = 805,271.34/850.57
  6. Step 6: Final answer
    x = 946.74

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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.