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Finding the Fourth Proportional to 736.95, 1,105.62 and 412.56

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Solution

The fourth proportional to 736.95, 1,105.62 and 412.56 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.95 : 1,105.62 = 412.56 : x
  2. Step 2: Convert to fraction form
    736.95/1,105.62 = 412.56/x
  3. Step 3: Cross multiply
    736.95x = 1,105.62 × 412.56
  4. Step 4: Simplify right side
    736.95x = 456,134.59
  5. Step 5: Solve for x
    x = 456,134.59/736.95
  6. Step 6: Final answer
    x = 618.95

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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.