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Finding the Fourth Proportional to 507.16, 699.86 and 286.10

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Solution

The fourth proportional to 507.16, 699.86 and 286.10 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 699.86 = 286.10 : x
  2. Step 2: Convert to fraction form
    507.16/699.86 = 286.10/x
  3. Step 3: Cross multiply
    507.16x = 699.86 × 286.10
  4. Step 4: Simplify right side
    507.16x = 200,229.95
  5. Step 5: Solve for x
    x = 200,229.95/507.16
  6. Step 6: Final answer
    x = 394.81

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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.