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Finding the Fourth Proportional to 947.97, 1,415.34 and 817.83

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Solution

The fourth proportional to 947.97, 1,415.34 and 817.83 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.97 : 1,415.34 = 817.83 : x
  2. Step 2: Convert to fraction form
    947.97/1,415.34 = 817.83/x
  3. Step 3: Cross multiply
    947.97x = 1,415.34 × 817.83
  4. Step 4: Simplify right side
    947.97x = 1,157,507.51
  5. Step 5: Solve for x
    x = 1,157,507.51/947.97
  6. Step 6: Final answer
    x = 1,221.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.