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Finding the Fourth Proportional to 501.27, 691.56 and 335.31

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Solution

The fourth proportional to 501.27, 691.56 and 335.31 is: 462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.27 : 691.56 = 335.31 : x
  2. Step 2: Convert to fraction form
    501.27/691.56 = 335.31/x
  3. Step 3: Cross multiply
    501.27x = 691.56 × 335.31
  4. Step 4: Simplify right side
    501.27x = 231,886.98
  5. Step 5: Solve for x
    x = 231,886.98/501.27
  6. Step 6: Final answer
    x = 462.60

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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.