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Finding the Fourth Proportional to 741.24, 1,112.13 and 710.19

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Solution

The fourth proportional to 741.24, 1,112.13 and 710.19 is: 1,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.24 : 1,112.13 = 710.19 : x
  2. Step 2: Convert to fraction form
    741.24/1,112.13 = 710.19/x
  3. Step 3: Cross multiply
    741.24x = 1,112.13 × 710.19
  4. Step 4: Simplify right side
    741.24x = 789,823.60
  5. Step 5: Solve for x
    x = 789,823.60/741.24
  6. Step 6: Final answer
    x = 1,065.54

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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.