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Finding the Fourth Proportional to 507.92, 700.88 and 286.87

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Solution

The fourth proportional to 507.92, 700.88 and 286.87 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.92 : 700.88 = 286.87 : x
  2. Step 2: Convert to fraction form
    507.92/700.88 = 286.87/x
  3. Step 3: Cross multiply
    507.92x = 700.88 × 286.87
  4. Step 4: Simplify right side
    507.92x = 201,061.45
  5. Step 5: Solve for x
    x = 201,061.45/507.92
  6. Step 6: Final answer
    x = 395.85

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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.