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Finding the Fourth Proportional to 722.76, 1,081.40 and 664.67

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Solution

The fourth proportional to 722.76, 1,081.40 and 664.67 is: 994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.76 : 1,081.40 = 664.67 : x
  2. Step 2: Convert to fraction form
    722.76/1,081.40 = 664.67/x
  3. Step 3: Cross multiply
    722.76x = 1,081.40 × 664.67
  4. Step 4: Simplify right side
    722.76x = 718,773.52
  5. Step 5: Solve for x
    x = 718,773.52/722.76
  6. Step 6: Final answer
    x = 994.49

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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.