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Finding the Fourth Proportional to 1,309.09, 1,963.53 and 815.62

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Solution

The fourth proportional to 1,309.09, 1,963.53 and 815.62 is: 1,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.09 : 1,963.53 = 815.62 : x
  2. Step 2: Convert to fraction form
    1,309.09/1,963.53 = 815.62/x
  3. Step 3: Cross multiply
    1,309.09x = 1,963.53 × 815.62
  4. Step 4: Simplify right side
    1,309.09x = 1,601,494.34
  5. Step 5: Solve for x
    x = 1,601,494.34/1,309.09
  6. Step 6: Final answer
    x = 1,223.36

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1.5x scale

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.