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Finding the Fourth Proportional to 947.86, 1,306.08 and 783.22

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Solution

The fourth proportional to 947.86, 1,306.08 and 783.22 is: 1,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.86 : 1,306.08 = 783.22 : x
  2. Step 2: Convert to fraction form
    947.86/1,306.08 = 783.22/x
  3. Step 3: Cross multiply
    947.86x = 1,306.08 × 783.22
  4. Step 4: Simplify right side
    947.86x = 1,022,947.98
  5. Step 5: Solve for x
    x = 1,022,947.98/947.86
  6. Step 6: Final answer
    x = 1,079.22

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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.