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Finding the Fourth Proportional to 947.07, 1,419.81 and 453.21

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Solution

The fourth proportional to 947.07, 1,419.81 and 453.21 is: 679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,419.81 = 453.21 : x
  2. Step 2: Convert to fraction form
    947.07/1,419.81 = 453.21/x
  3. Step 3: Cross multiply
    947.07x = 1,419.81 × 453.21
  4. Step 4: Simplify right side
    947.07x = 643,465.07
  5. Step 5: Solve for x
    x = 643,465.07/947.07
  6. Step 6: Final answer
    x = 679.43

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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.