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Finding the Fourth Proportional to 1,309.65, 1,964.48 and 335.76

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Solution

The fourth proportional to 1,309.65, 1,964.48 and 335.76 is: 503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.65 : 1,964.48 = 335.76 : x
  2. Step 2: Convert to fraction form
    1,309.65/1,964.48 = 335.76/x
  3. Step 3: Cross multiply
    1,309.65x = 1,964.48 × 335.76
  4. Step 4: Simplify right side
    1,309.65x = 659,592.13
  5. Step 5: Solve for x
    x = 659,592.13/1,309.65
  6. Step 6: Final answer
    x = 503.64

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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.