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Finding the Fourth Proportional to 984.92, 1,477.89 and 369.05

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Solution

The fourth proportional to 984.92, 1,477.89 and 369.05 is: 553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.92 : 1,477.89 = 369.05 : x
  2. Step 2: Convert to fraction form
    984.92/1,477.89 = 369.05/x
  3. Step 3: Cross multiply
    984.92x = 1,477.89 × 369.05
  4. Step 4: Simplify right side
    984.92x = 545,407.92
  5. Step 5: Solve for x
    x = 545,407.92/984.92
  6. Step 6: Final answer
    x = 553.76

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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.