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Finding the Fourth Proportional to 911.42, 1,366.85 and 334.34

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Solution

The fourth proportional to 911.42, 1,366.85 and 334.34 is: 501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.42 : 1,366.85 = 334.34 : x
  2. Step 2: Convert to fraction form
    911.42/1,366.85 = 334.34/x
  3. Step 3: Cross multiply
    911.42x = 1,366.85 × 334.34
  4. Step 4: Simplify right side
    911.42x = 456,984.12
  5. Step 5: Solve for x
    x = 456,984.12/911.42
  6. Step 6: Final answer
    x = 501.40

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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.