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Finding the Fourth Proportional to 736.29, 1,103.07 and 644.71

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Solution

The fourth proportional to 736.29, 1,103.07 and 644.71 is: 965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.29 : 1,103.07 = 644.71 : x
  2. Step 2: Convert to fraction form
    736.29/1,103.07 = 644.71/x
  3. Step 3: Cross multiply
    736.29x = 1,103.07 × 644.71
  4. Step 4: Simplify right side
    736.29x = 711,158.36
  5. Step 5: Solve for x
    x = 711,158.36/736.29
  6. Step 6: Final answer
    x = 965.87

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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.