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Finding the Fourth Proportional to 1,645.02, 2,467.65 and 519.19

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Solution

The fourth proportional to 1,645.02, 2,467.65 and 519.19 is: 778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.02 : 2,467.65 = 519.19 : x
  2. Step 2: Convert to fraction form
    1,645.02/2,467.65 = 519.19/x
  3. Step 3: Cross multiply
    1,645.02x = 2,467.65 × 519.19
  4. Step 4: Simplify right side
    1,645.02x = 1,281,179.20
  5. Step 5: Solve for x
    x = 1,281,179.20/1,645.02
  6. Step 6: Final answer
    x = 778.82

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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.