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Finding the Fourth Proportional to 505.94, 698.22 and 284.92

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Solution

The fourth proportional to 505.94, 698.22 and 284.92 is: 393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 698.22 = 284.92 : x
  2. Step 2: Convert to fraction form
    505.94/698.22 = 284.92/x
  3. Step 3: Cross multiply
    505.94x = 698.22 × 284.92
  4. Step 4: Simplify right side
    505.94x = 198,936.84
  5. Step 5: Solve for x
    x = 198,936.84/505.94
  6. Step 6: Final answer
    x = 393.21

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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.