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Finding the Fourth Proportional to 850.71, 1,174.09 and 519.13

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Solution

The fourth proportional to 850.71, 1,174.09 and 519.13 is: 716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.71 : 1,174.09 = 519.13 : x
  2. Step 2: Convert to fraction form
    850.71/1,174.09 = 519.13/x
  3. Step 3: Cross multiply
    850.71x = 1,174.09 × 519.13
  4. Step 4: Simplify right side
    850.71x = 609,505.34
  5. Step 5: Solve for x
    x = 609,505.34/850.71
  6. Step 6: Final answer
    x = 716.47

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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.