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Finding the Fourth Proportional to 1,090.56, 1,505.28 and 741.25

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Solution

The fourth proportional to 1,090.56, 1,505.28 and 741.25 is: 1,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.56 : 1,505.28 = 741.25 : x
  2. Step 2: Convert to fraction form
    1,090.56/1,505.28 = 741.25/x
  3. Step 3: Cross multiply
    1,090.56x = 1,505.28 × 741.25
  4. Step 4: Simplify right side
    1,090.56x = 1,115,788.80
  5. Step 5: Solve for x
    x = 1,115,788.80/1,090.56
  6. Step 6: Final answer
    x = 1,023.13

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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.