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Finding the Fourth Proportional to 2,320.25, 3,480.50 and 760.12

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Solution

The fourth proportional to 2,320.25, 3,480.50 and 760.12 is: 1,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.25 : 3,480.50 = 760.12 : x
  2. Step 2: Convert to fraction form
    2,320.25/3,480.50 = 760.12/x
  3. Step 3: Cross multiply
    2,320.25x = 3,480.50 × 760.12
  4. Step 4: Simplify right side
    2,320.25x = 2,645,585.16
  5. Step 5: Solve for x
    x = 2,645,585.16/2,320.25
  6. Step 6: Final answer
    x = 1,140.21

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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.