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Finding the Fourth Proportional to 736.68, 1,105.00 and 411.96

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Solution

The fourth proportional to 736.68, 1,105.00 and 411.96 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.68 : 1,105.00 = 411.96 : x
  2. Step 2: Convert to fraction form
    736.68/1,105.00 = 411.96/x
  3. Step 3: Cross multiply
    736.68x = 1,105.00 × 411.96
  4. Step 4: Simplify right side
    736.68x = 455,214.77
  5. Step 5: Solve for x
    x = 455,214.77/736.68
  6. Step 6: Final answer
    x = 617.93

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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.