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Finding the Fourth Proportional to 1,309.90, 1,964.18 and 443.58

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Solution

The fourth proportional to 1,309.90, 1,964.18 and 443.58 is: 665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.90 : 1,964.18 = 443.58 : x
  2. Step 2: Convert to fraction form
    1,309.90/1,964.18 = 443.58/x
  3. Step 3: Cross multiply
    1,309.90x = 1,964.18 × 443.58
  4. Step 4: Simplify right side
    1,309.90x = 871,270.96
  5. Step 5: Solve for x
    x = 871,270.96/1,309.90
  6. Step 6: Final answer
    x = 665.14

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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.