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Finding the Fourth Proportional to 851.13, 1,174.28 and 519.57

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Solution

The fourth proportional to 851.13, 1,174.28 and 519.57 is: 716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.13 : 1,174.28 = 519.57 : x
  2. Step 2: Convert to fraction form
    851.13/1,174.28 = 519.57/x
  3. Step 3: Cross multiply
    851.13x = 1,174.28 × 519.57
  4. Step 4: Simplify right side
    851.13x = 610,118.06
  5. Step 5: Solve for x
    x = 610,118.06/851.13
  6. Step 6: Final answer
    x = 716.83

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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.