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Finding the Fourth Proportional to 507.22, 699.98 and 286.17

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Solution

The fourth proportional to 507.22, 699.98 and 286.17 is: 394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.22 : 699.98 = 286.17 : x
  2. Step 2: Convert to fraction form
    507.22/699.98 = 286.17/x
  3. Step 3: Cross multiply
    507.22x = 699.98 × 286.17
  4. Step 4: Simplify right side
    507.22x = 200,313.28
  5. Step 5: Solve for x
    x = 200,313.28/507.22
  6. Step 6: Final answer
    x = 394.92

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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.