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Finding the Fourth Proportional to 547.82, 820.67 and 431.65

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Solution

The fourth proportional to 547.82, 820.67 and 431.65 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 820.67 = 431.65 : x
  2. Step 2: Convert to fraction form
    547.82/820.67 = 431.65/x
  3. Step 3: Cross multiply
    547.82x = 820.67 × 431.65
  4. Step 4: Simplify right side
    547.82x = 354,242.21
  5. Step 5: Solve for x
    x = 354,242.21/547.82
  6. Step 6: Final answer
    x = 646.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.