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Finding the Fourth Proportional to 843.21, 1,264.86 and 478.26

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Solution

The fourth proportional to 843.21, 1,264.86 and 478.26 is: 717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.21 : 1,264.86 = 478.26 : x
  2. Step 2: Convert to fraction form
    843.21/1,264.86 = 478.26/x
  3. Step 3: Cross multiply
    843.21x = 1,264.86 × 478.26
  4. Step 4: Simplify right side
    843.21x = 604,931.94
  5. Step 5: Solve for x
    x = 604,931.94/843.21
  6. Step 6: Final answer
    x = 717.42

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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.