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Finding the Fourth Proportional to 1,309.64, 1,964.45 and 823.03

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Solution

The fourth proportional to 1,309.64, 1,964.45 and 823.03 is: 1,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.64 : 1,964.45 = 823.03 : x
  2. Step 2: Convert to fraction form
    1,309.64/1,964.45 = 823.03/x
  3. Step 3: Cross multiply
    1,309.64x = 1,964.45 × 823.03
  4. Step 4: Simplify right side
    1,309.64x = 1,616,801.28
  5. Step 5: Solve for x
    x = 1,616,801.28/1,309.64
  6. Step 6: Final answer
    x = 1,234.54

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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.