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Finding the Fourth Proportional to 947.13, 1,414.31 and 774.14

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Solution

The fourth proportional to 947.13, 1,414.31 and 774.14 is: 1,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.13 : 1,414.31 = 774.14 : x
  2. Step 2: Convert to fraction form
    947.13/1,414.31 = 774.14/x
  3. Step 3: Cross multiply
    947.13x = 1,414.31 × 774.14
  4. Step 4: Simplify right side
    947.13x = 1,094,873.94
  5. Step 5: Solve for x
    x = 1,094,873.94/947.13
  6. Step 6: Final answer
    x = 1,155.99

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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.