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Finding the Fourth Proportional to 945.99, 1,419.81 and 369.27

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Solution

The fourth proportional to 945.99, 1,419.81 and 369.27 is: 554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.99 : 1,419.81 = 369.27 : x
  2. Step 2: Convert to fraction form
    945.99/1,419.81 = 369.27/x
  3. Step 3: Cross multiply
    945.99x = 1,419.81 × 369.27
  4. Step 4: Simplify right side
    945.99x = 524,293.24
  5. Step 5: Solve for x
    x = 524,293.24/945.99
  6. Step 6: Final answer
    x = 554.23

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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.