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Finding the Fourth Proportional to 911.01, 1,364.85 and 423.39

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Solution

The fourth proportional to 911.01, 1,364.85 and 423.39 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.01 : 1,364.85 = 423.39 : x
  2. Step 2: Convert to fraction form
    911.01/1,364.85 = 423.39/x
  3. Step 3: Cross multiply
    911.01x = 1,364.85 × 423.39
  4. Step 4: Simplify right side
    911.01x = 577,863.84
  5. Step 5: Solve for x
    x = 577,863.84/911.01
  6. Step 6: Final answer
    x = 634.31

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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.