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Finding the Fourth Proportional to 507.10, 699.76 and 286.05

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Solution

The fourth proportional to 507.10, 699.76 and 286.05 is: 394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.10 : 699.76 = 286.05 : x
  2. Step 2: Convert to fraction form
    507.10/699.76 = 286.05/x
  3. Step 3: Cross multiply
    507.10x = 699.76 × 286.05
  4. Step 4: Simplify right side
    507.10x = 200,166.35
  5. Step 5: Solve for x
    x = 200,166.35/507.10
  6. Step 6: Final answer
    x = 394.73

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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.