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Finding the Fourth Proportional to 509.96, 703.86 and 496.82

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Solution

The fourth proportional to 509.96, 703.86 and 496.82 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 703.86 = 496.82 : x
  2. Step 2: Convert to fraction form
    509.96/703.86 = 496.82/x
  3. Step 3: Cross multiply
    509.96x = 703.86 × 496.82
  4. Step 4: Simplify right side
    509.96x = 349,691.73
  5. Step 5: Solve for x
    x = 349,691.73/509.96
  6. Step 6: Final answer
    x = 685.72

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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.