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Finding the Fourth Proportional to 741.23, 1,109.95 and 719.33

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Solution

The fourth proportional to 741.23, 1,109.95 and 719.33 is: 1,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.23 : 1,109.95 = 719.33 : x
  2. Step 2: Convert to fraction form
    741.23/1,109.95 = 719.33/x
  3. Step 3: Cross multiply
    741.23x = 1,109.95 × 719.33
  4. Step 4: Simplify right side
    741.23x = 798,421.31
  5. Step 5: Solve for x
    x = 798,421.31/741.23
  6. Step 6: Final answer
    x = 1,077.15

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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.