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Finding the Fourth Proportional to 736.90, 1,106.09 and 371.69

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Solution

The fourth proportional to 736.90, 1,106.09 and 371.69 is: 557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.90 : 1,106.09 = 371.69 : x
  2. Step 2: Convert to fraction form
    736.90/1,106.09 = 371.69/x
  3. Step 3: Cross multiply
    736.90x = 1,106.09 × 371.69
  4. Step 4: Simplify right side
    736.90x = 411,120.74
  5. Step 5: Solve for x
    x = 411,120.74/736.90
  6. Step 6: Final answer
    x = 557.91

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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.