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Finding the Fourth Proportional to 1,309.69, 1,964.23 and 488.35

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Solution

The fourth proportional to 1,309.69, 1,964.23 and 488.35 is: 732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.69 : 1,964.23 = 488.35 : x
  2. Step 2: Convert to fraction form
    1,309.69/1,964.23 = 488.35/x
  3. Step 3: Cross multiply
    1,309.69x = 1,964.23 × 488.35
  4. Step 4: Simplify right side
    1,309.69x = 959,231.72
  5. Step 5: Solve for x
    x = 959,231.72/1,309.69
  6. Step 6: Final answer
    x = 732.41

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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.