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Finding the Fourth Proportional to 500.86, 691.46 and 335.32

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Solution

The fourth proportional to 500.86, 691.46 and 335.32 is: 462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.86 : 691.46 = 335.32 : x
  2. Step 2: Convert to fraction form
    500.86/691.46 = 335.32/x
  3. Step 3: Cross multiply
    500.86x = 691.46 × 335.32
  4. Step 4: Simplify right side
    500.86x = 231,860.37
  5. Step 5: Solve for x
    x = 231,860.37/500.86
  6. Step 6: Final answer
    x = 462.92

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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.