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Finding the Fourth Proportional to 496.77, 685.49 and 284.07

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Solution

The fourth proportional to 496.77, 685.49 and 284.07 is: 391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.77 : 685.49 = 284.07 : x
  2. Step 2: Convert to fraction form
    496.77/685.49 = 284.07/x
  3. Step 3: Cross multiply
    496.77x = 685.49 × 284.07
  4. Step 4: Simplify right side
    496.77x = 194,725.72
  5. Step 5: Solve for x
    x = 194,725.72/496.77
  6. Step 6: Final answer
    x = 391.98

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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.