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Finding the Fourth Proportional to 536.41, 739.29 and 431.92

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Solution

The fourth proportional to 536.41, 739.29 and 431.92 is: 595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.41 : 739.29 = 431.92 : x
  2. Step 2: Convert to fraction form
    536.41/739.29 = 431.92/x
  3. Step 3: Cross multiply
    536.41x = 739.29 × 431.92
  4. Step 4: Simplify right side
    536.41x = 319,314.14
  5. Step 5: Solve for x
    x = 319,314.14/536.41
  6. Step 6: Final answer
    x = 595.28

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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.