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Finding the Fourth Proportional to 507.87, 699.64 and 418.97

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Solution

The fourth proportional to 507.87, 699.64 and 418.97 is: 577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 699.64 = 418.97 : x
  2. Step 2: Convert to fraction form
    507.87/699.64 = 418.97/x
  3. Step 3: Cross multiply
    507.87x = 699.64 × 418.97
  4. Step 4: Simplify right side
    507.87x = 293,128.87
  5. Step 5: Solve for x
    x = 293,128.87/507.87
  6. Step 6: Final answer
    x = 577.17

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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.