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Finding the Fourth Proportional to 843.50, 1,264.08 and 322.96

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Solution

The fourth proportional to 843.50, 1,264.08 and 322.96 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.50 : 1,264.08 = 322.96 : x
  2. Step 2: Convert to fraction form
    843.50/1,264.08 = 322.96/x
  3. Step 3: Cross multiply
    843.50x = 1,264.08 × 322.96
  4. Step 4: Simplify right side
    843.50x = 408,247.28
  5. Step 5: Solve for x
    x = 408,247.28/843.50
  6. Step 6: Final answer
    x = 483.99

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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.