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Finding the Fourth Proportional to 1,416.63, 2,120.67 and 765.39

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Solution

The fourth proportional to 1,416.63, 2,120.67 and 765.39 is: 1,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.63 : 2,120.67 = 765.39 : x
  2. Step 2: Convert to fraction form
    1,416.63/2,120.67 = 765.39/x
  3. Step 3: Cross multiply
    1,416.63x = 2,120.67 × 765.39
  4. Step 4: Simplify right side
    1,416.63x = 1,623,139.61
  5. Step 5: Solve for x
    x = 1,623,139.61/1,416.63
  6. Step 6: Final answer
    x = 1,145.78

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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.