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Finding the Fourth Proportional to 723.56, 1,080.69 and 719.08

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Solution

The fourth proportional to 723.56, 1,080.69 and 719.08 is: 1,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.56 : 1,080.69 = 719.08 : x
  2. Step 2: Convert to fraction form
    723.56/1,080.69 = 719.08/x
  3. Step 3: Cross multiply
    723.56x = 1,080.69 × 719.08
  4. Step 4: Simplify right side
    723.56x = 777,102.57
  5. Step 5: Solve for x
    x = 777,102.57/723.56
  6. Step 6: Final answer
    x = 1,074.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.