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Finding the Fourth Proportional to 851.85, 1,175.85 and 590.22

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Solution

The fourth proportional to 851.85, 1,175.85 and 590.22 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.85 : 1,175.85 = 590.22 : x
  2. Step 2: Convert to fraction form
    851.85/1,175.85 = 590.22/x
  3. Step 3: Cross multiply
    851.85x = 1,175.85 × 590.22
  4. Step 4: Simplify right side
    851.85x = 694,010.19
  5. Step 5: Solve for x
    x = 694,010.19/851.85
  6. Step 6: Final answer
    x = 814.71

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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.