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Finding the Fourth Proportional to 733.21, 1,104.20 and 643

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Solution

The fourth proportional to 733.21, 1,104.20 and 643 is: 968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.21 : 1,104.20 = 643 : x
  2. Step 2: Convert to fraction form
    733.21/1,104.20 = 643/x
  3. Step 3: Cross multiply
    733.21x = 1,104.20 × 643
  4. Step 4: Simplify right side
    733.21x = 710,000.60
  5. Step 5: Solve for x
    x = 710,000.60/733.21
  6. Step 6: Final answer
    x = 968.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.