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Finding the Fourth Proportional to 984.69, 1,469.22 and 975.12

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Solution

The fourth proportional to 984.69, 1,469.22 and 975.12 is: 1,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.69 : 1,469.22 = 975.12 : x
  2. Step 2: Convert to fraction form
    984.69/1,469.22 = 975.12/x
  3. Step 3: Cross multiply
    984.69x = 1,469.22 × 975.12
  4. Step 4: Simplify right side
    984.69x = 1,432,665.81
  5. Step 5: Solve for x
    x = 1,432,665.81/984.69
  6. Step 6: Final answer
    x = 1,454.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.