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Finding the Fourth Proportional to 722.23, 1,074.68 and 719.80

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Solution

The fourth proportional to 722.23, 1,074.68 and 719.80 is: 1,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.23 : 1,074.68 = 719.80 : x
  2. Step 2: Convert to fraction form
    722.23/1,074.68 = 719.80/x
  3. Step 3: Cross multiply
    722.23x = 1,074.68 × 719.80
  4. Step 4: Simplify right side
    722.23x = 773,554.66
  5. Step 5: Solve for x
    x = 773,554.66/722.23
  6. Step 6: Final answer
    x = 1,071.06

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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.