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Finding the Fourth Proportional to 1,090.20, 1,504.22 and 736.77

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Solution

The fourth proportional to 1,090.20, 1,504.22 and 736.77 is: 1,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.20 : 1,504.22 = 736.77 : x
  2. Step 2: Convert to fraction form
    1,090.20/1,504.22 = 736.77/x
  3. Step 3: Cross multiply
    1,090.20x = 1,504.22 × 736.77
  4. Step 4: Simplify right side
    1,090.20x = 1,108,264.17
  5. Step 5: Solve for x
    x = 1,108,264.17/1,090.20
  6. Step 6: Final answer
    x = 1,016.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.