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Finding the Fourth Proportional to 507.05, 758.74 and 419.57

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Solution

The fourth proportional to 507.05, 758.74 and 419.57 is: 627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.05 : 758.74 = 419.57 : x
  2. Step 2: Convert to fraction form
    507.05/758.74 = 419.57/x
  3. Step 3: Cross multiply
    507.05x = 758.74 × 419.57
  4. Step 4: Simplify right side
    507.05x = 318,344.54
  5. Step 5: Solve for x
    x = 318,344.54/507.05
  6. Step 6: Final answer
    x = 627.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.