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Finding the Fourth Proportional to 1,309.65, 1,964.31 and 372.62

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Solution

The fourth proportional to 1,309.65, 1,964.31 and 372.62 is: 558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.65 : 1,964.31 = 372.62 : x
  2. Step 2: Convert to fraction form
    1,309.65/1,964.31 = 372.62/x
  3. Step 3: Cross multiply
    1,309.65x = 1,964.31 × 372.62
  4. Step 4: Simplify right side
    1,309.65x = 731,931.37
  5. Step 5: Solve for x
    x = 731,931.37/1,309.65
  6. Step 6: Final answer
    x = 558.88

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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.