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Finding the Fourth Proportional to 851.20, 1,174.17 and 614.89

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Solution

The fourth proportional to 851.20, 1,174.17 and 614.89 is: 848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.20 : 1,174.17 = 614.89 : x
  2. Step 2: Convert to fraction form
    851.20/1,174.17 = 614.89/x
  3. Step 3: Cross multiply
    851.20x = 1,174.17 × 614.89
  4. Step 4: Simplify right side
    851.20x = 721,985.39
  5. Step 5: Solve for x
    x = 721,985.39/851.20
  6. Step 6: Final answer
    x = 848.20

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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.