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Finding the Fourth Proportional to 507.41, 764.57 and 418.10

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Solution

The fourth proportional to 507.41, 764.57 and 418.10 is: 629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.41 : 764.57 = 418.10 : x
  2. Step 2: Convert to fraction form
    507.41/764.57 = 418.10/x
  3. Step 3: Cross multiply
    507.41x = 764.57 × 418.10
  4. Step 4: Simplify right side
    507.41x = 319,660.80
  5. Step 5: Solve for x
    x = 319,660.80/507.41
  6. Step 6: Final answer
    x = 629.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.