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Finding the Fourth Proportional to 626.67, 865.79 and 431.22

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Solution

The fourth proportional to 626.67, 865.79 and 431.22 is: 595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.67 : 865.79 = 431.22 : x
  2. Step 2: Convert to fraction form
    626.67/865.79 = 431.22/x
  3. Step 3: Cross multiply
    626.67x = 865.79 × 431.22
  4. Step 4: Simplify right side
    626.67x = 373,348.67
  5. Step 5: Solve for x
    x = 373,348.67/626.67
  6. Step 6: Final answer
    x = 595.77

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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.