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Finding the Fourth Proportional to 753.36, 1,116.72 and 741.75

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Solution

The fourth proportional to 753.36, 1,116.72 and 741.75 is: 1,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.36 : 1,116.72 = 741.75 : x
  2. Step 2: Convert to fraction form
    753.36/1,116.72 = 741.75/x
  3. Step 3: Cross multiply
    753.36x = 1,116.72 × 741.75
  4. Step 4: Simplify right side
    753.36x = 828,327.06
  5. Step 5: Solve for x
    x = 828,327.06/753.36
  6. Step 6: Final answer
    x = 1,099.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.