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Finding the Fourth Proportional to 947.93, 1,414.10 and 881.64

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Solution

The fourth proportional to 947.93, 1,414.10 and 881.64 is: 1,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.93 : 1,414.10 = 881.64 : x
  2. Step 2: Convert to fraction form
    947.93/1,414.10 = 881.64/x
  3. Step 3: Cross multiply
    947.93x = 1,414.10 × 881.64
  4. Step 4: Simplify right side
    947.93x = 1,246,722.72
  5. Step 5: Solve for x
    x = 1,246,722.72/947.93
  6. Step 6: Final answer
    x = 1,315.21

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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.