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Finding the Fourth Proportional to 1,309.29, 1,964.94 and 693.15

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Solution

The fourth proportional to 1,309.29, 1,964.94 and 693.15 is: 1,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.29 : 1,964.94 = 693.15 : x
  2. Step 2: Convert to fraction form
    1,309.29/1,964.94 = 693.15/x
  3. Step 3: Cross multiply
    1,309.29x = 1,964.94 × 693.15
  4. Step 4: Simplify right side
    1,309.29x = 1,361,998.16
  5. Step 5: Solve for x
    x = 1,361,998.16/1,309.29
  6. Step 6: Final answer
    x = 1,040.26

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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.