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Finding the Fourth Proportional to 736.49, 1,104.77 and 370.85

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Solution

The fourth proportional to 736.49, 1,104.77 and 370.85 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.49 : 1,104.77 = 370.85 : x
  2. Step 2: Convert to fraction form
    736.49/1,104.77 = 370.85/x
  3. Step 3: Cross multiply
    736.49x = 1,104.77 × 370.85
  4. Step 4: Simplify right side
    736.49x = 409,699.36
  5. Step 5: Solve for x
    x = 409,699.36/736.49
  6. Step 6: Final answer
    x = 556.28

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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.