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Finding the Fourth Proportional to 736.66, 1,103.64 and 411.04

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Solution

The fourth proportional to 736.66, 1,103.64 and 411.04 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.66 : 1,103.64 = 411.04 : x
  2. Step 2: Convert to fraction form
    736.66/1,103.64 = 411.04/x
  3. Step 3: Cross multiply
    736.66x = 1,103.64 × 411.04
  4. Step 4: Simplify right side
    736.66x = 453,640.19
  5. Step 5: Solve for x
    x = 453,640.19/736.66
  6. Step 6: Final answer
    x = 615.81

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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.