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Finding the Fourth Proportional to 1,309.01, 1,960.94 and 760.04

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Solution

The fourth proportional to 1,309.01, 1,960.94 and 760.04 is: 1,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.01 : 1,960.94 = 760.04 : x
  2. Step 2: Convert to fraction form
    1,309.01/1,960.94 = 760.04/x
  3. Step 3: Cross multiply
    1,309.01x = 1,960.94 × 760.04
  4. Step 4: Simplify right side
    1,309.01x = 1,490,399.64
  5. Step 5: Solve for x
    x = 1,490,399.64/1,309.01
  6. Step 6: Final answer
    x = 1,138.57

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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.