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Finding the Fourth Proportional to 736.35, 1,023 and 729.60

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Solution

The fourth proportional to 736.35, 1,023 and 729.60 is: 1,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.35 : 1,023 = 729.60 : x
  2. Step 2: Convert to fraction form
    736.35/1,023 = 729.60/x
  3. Step 3: Cross multiply
    736.35x = 1,023 × 729.60
  4. Step 4: Simplify right side
    736.35x = 746,380.80
  5. Step 5: Solve for x
    x = 746,380.80/736.35
  6. Step 6: Final answer
    x = 1,013.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.