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Finding the Fourth Proportional to 850.82, 1,174.10 and 472.70

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Solution

The fourth proportional to 850.82, 1,174.10 and 472.70 is: 652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.82 : 1,174.10 = 472.70 : x
  2. Step 2: Convert to fraction form
    850.82/1,174.10 = 472.70/x
  3. Step 3: Cross multiply
    850.82x = 1,174.10 × 472.70
  4. Step 4: Simplify right side
    850.82x = 555,001.19
  5. Step 5: Solve for x
    x = 555,001.19/850.82
  6. Step 6: Final answer
    x = 652.31

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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.