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Finding the Fourth Proportional to 521.26, 785.47 and 431.96

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Solution

The fourth proportional to 521.26, 785.47 and 431.96 is: 650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.26 : 785.47 = 431.96 : x
  2. Step 2: Convert to fraction form
    521.26/785.47 = 431.96/x
  3. Step 3: Cross multiply
    521.26x = 785.47 × 431.96
  4. Step 4: Simplify right side
    521.26x = 339,291.62
  5. Step 5: Solve for x
    x = 339,291.62/521.26
  6. Step 6: Final answer
    x = 650.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.