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Finding the Fourth Proportional to 496.87, 685.63 and 307.78

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Solution

The fourth proportional to 496.87, 685.63 and 307.78 is: 424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.87 : 685.63 = 307.78 : x
  2. Step 2: Convert to fraction form
    496.87/685.63 = 307.78/x
  3. Step 3: Cross multiply
    496.87x = 685.63 × 307.78
  4. Step 4: Simplify right side
    496.87x = 211,023.20
  5. Step 5: Solve for x
    x = 211,023.20/496.87
  6. Step 6: Final answer
    x = 424.71

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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.