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Finding the Fourth Proportional to 1,478.38, 2,217.84 and 504.56

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Solution

The fourth proportional to 1,478.38, 2,217.84 and 504.56 is: 756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.38 : 2,217.84 = 504.56 : x
  2. Step 2: Convert to fraction form
    1,478.38/2,217.84 = 504.56/x
  3. Step 3: Cross multiply
    1,478.38x = 2,217.84 × 504.56
  4. Step 4: Simplify right side
    1,478.38x = 1,119,033.35
  5. Step 5: Solve for x
    x = 1,119,033.35/1,478.38
  6. Step 6: Final answer
    x = 756.93

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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.