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Finding the Fourth Proportional to 720.44, 1,074.80 and 711.23

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Solution

The fourth proportional to 720.44, 1,074.80 and 711.23 is: 1,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 1,074.80 = 711.23 : x
  2. Step 2: Convert to fraction form
    720.44/1,074.80 = 711.23/x
  3. Step 3: Cross multiply
    720.44x = 1,074.80 × 711.23
  4. Step 4: Simplify right side
    720.44x = 764,421.07
  5. Step 5: Solve for x
    x = 764,421.07/720.44
  6. Step 6: Final answer
    x = 1,061.05

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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.