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Finding the Fourth Proportional to 1,309.79, 1,964.80 and 335.89

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Solution

The fourth proportional to 1,309.79, 1,964.80 and 335.89 is: 503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.79 : 1,964.80 = 335.89 : x
  2. Step 2: Convert to fraction form
    1,309.79/1,964.80 = 335.89/x
  3. Step 3: Cross multiply
    1,309.79x = 1,964.80 × 335.89
  4. Step 4: Simplify right side
    1,309.79x = 659,955.83
  5. Step 5: Solve for x
    x = 659,955.83/1,309.79
  6. Step 6: Final answer
    x = 503.86

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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.