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Finding the Fourth Proportional to 1,479.62, 2,219.72 and 506.40

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Solution

The fourth proportional to 1,479.62, 2,219.72 and 506.40 is: 759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.62 : 2,219.72 = 506.40 : x
  2. Step 2: Convert to fraction form
    1,479.62/2,219.72 = 506.40/x
  3. Step 3: Cross multiply
    1,479.62x = 2,219.72 × 506.40
  4. Step 4: Simplify right side
    1,479.62x = 1,124,063.68
  5. Step 5: Solve for x
    x = 1,124,063.68/1,479.62
  6. Step 6: Final answer
    x = 759.70

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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.