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Finding the Fourth Proportional to 495.72, 739.94 and 431.17

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Solution

The fourth proportional to 495.72, 739.94 and 431.17 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.72 : 739.94 = 431.17 : x
  2. Step 2: Convert to fraction form
    495.72/739.94 = 431.17/x
  3. Step 3: Cross multiply
    495.72x = 739.94 × 431.17
  4. Step 4: Simplify right side
    495.72x = 319,040.09
  5. Step 5: Solve for x
    x = 319,040.09/495.72
  6. Step 6: Final answer
    x = 643.59

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.