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Finding the Fourth Proportional to 556.27, 767.92 and 431.65

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Solution

The fourth proportional to 556.27, 767.92 and 431.65 is: 595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.27 : 767.92 = 431.65 : x
  2. Step 2: Convert to fraction form
    556.27/767.92 = 431.65/x
  3. Step 3: Cross multiply
    556.27x = 767.92 × 431.65
  4. Step 4: Simplify right side
    556.27x = 331,469.91
  5. Step 5: Solve for x
    x = 331,469.91/556.27
  6. Step 6: Final answer
    x = 595.88

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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.