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Finding the Fourth Proportional to 947.50, 1,304.83 and 813.65

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Solution

The fourth proportional to 947.50, 1,304.83 and 813.65 is: 1,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.50 : 1,304.83 = 813.65 : x
  2. Step 2: Convert to fraction form
    947.50/1,304.83 = 813.65/x
  3. Step 3: Cross multiply
    947.50x = 1,304.83 × 813.65
  4. Step 4: Simplify right side
    947.50x = 1,061,664.85
  5. Step 5: Solve for x
    x = 1,061,664.85/947.50
  6. Step 6: Final answer
    x = 1,120.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.