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Finding the Fourth Proportional to 850.71, 1,174.16 and 710.67

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Solution

The fourth proportional to 850.71, 1,174.16 and 710.67 is: 980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.71 : 1,174.16 = 710.67 : x
  2. Step 2: Convert to fraction form
    850.71/1,174.16 = 710.67/x
  3. Step 3: Cross multiply
    850.71x = 1,174.16 × 710.67
  4. Step 4: Simplify right side
    850.71x = 834,436.73
  5. Step 5: Solve for x
    x = 834,436.73/850.71
  6. Step 6: Final answer
    x = 980.87

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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.