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Finding the Fourth Proportional to 1,479.38, 2,219.42 and 505.50

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Solution

The fourth proportional to 1,479.38, 2,219.42 and 505.50 is: 758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.38 : 2,219.42 = 505.50 : x
  2. Step 2: Convert to fraction form
    1,479.38/2,219.42 = 505.50/x
  3. Step 3: Cross multiply
    1,479.38x = 2,219.42 × 505.50
  4. Step 4: Simplify right side
    1,479.38x = 1,121,916.81
  5. Step 5: Solve for x
    x = 1,121,916.81/1,479.38
  6. Step 6: Final answer
    x = 758.37

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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.