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Finding the Fourth Proportional to 947.45, 1,419.09 and 484.43

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Solution

The fourth proportional to 947.45, 1,419.09 and 484.43 is: 725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.45 : 1,419.09 = 484.43 : x
  2. Step 2: Convert to fraction form
    947.45/1,419.09 = 484.43/x
  3. Step 3: Cross multiply
    947.45x = 1,419.09 × 484.43
  4. Step 4: Simplify right side
    947.45x = 687,442.67
  5. Step 5: Solve for x
    x = 687,442.67/947.45
  6. Step 6: Final answer
    x = 725.58

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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.