Home / 1,090.27-1,505.33-837.78

Finding the Fourth Proportional to 1,090.27, 1,505.33 and 837.78

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Solution

The fourth proportional to 1,090.27, 1,505.33 and 837.78 is: 1,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.27 : 1,505.33 = 837.78 : x
  2. Step 2: Convert to fraction form
    1,090.27/1,505.33 = 837.78/x
  3. Step 3: Cross multiply
    1,090.27x = 1,505.33 × 837.78
  4. Step 4: Simplify right side
    1,090.27x = 1,261,135.37
  5. Step 5: Solve for x
    x = 1,261,135.37/1,090.27
  6. Step 6: Final answer
    x = 1,156.72

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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.