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Finding the Fourth Proportional to 1,645.44, 2,465.68 and 720.12

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Solution

The fourth proportional to 1,645.44, 2,465.68 and 720.12 is: 1,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.44 : 2,465.68 = 720.12 : x
  2. Step 2: Convert to fraction form
    1,645.44/2,465.68 = 720.12/x
  3. Step 3: Cross multiply
    1,645.44x = 2,465.68 × 720.12
  4. Step 4: Simplify right side
    1,645.44x = 1,775,585.48
  5. Step 5: Solve for x
    x = 1,775,585.48/1,645.44
  6. Step 6: Final answer
    x = 1,079.09

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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.