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Finding the Fourth Proportional to 947.57, 1,419.14 and 914.73

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Solution

The fourth proportional to 947.57, 1,419.14 and 914.73 is: 1,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.57 : 1,419.14 = 914.73 : x
  2. Step 2: Convert to fraction form
    947.57/1,419.14 = 914.73/x
  3. Step 3: Cross multiply
    947.57x = 1,419.14 × 914.73
  4. Step 4: Simplify right side
    947.57x = 1,298,132.22
  5. Step 5: Solve for x
    x = 1,298,132.22/947.57
  6. Step 6: Final answer
    x = 1,369.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.