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Finding the Fourth Proportional to 947.31, 1,305.99 and 926.61

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Solution

The fourth proportional to 947.31, 1,305.99 and 926.61 is: 1,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,305.99 = 926.61 : x
  2. Step 2: Convert to fraction form
    947.31/1,305.99 = 926.61/x
  3. Step 3: Cross multiply
    947.31x = 1,305.99 × 926.61
  4. Step 4: Simplify right side
    947.31x = 1,210,143.39
  5. Step 5: Solve for x
    x = 1,210,143.39/947.31
  6. Step 6: Final answer
    x = 1,277.45

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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.