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Finding the Fourth Proportional to 722.00, 1,081.37 and 506.54

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Solution

The fourth proportional to 722.00, 1,081.37 and 506.54 is: 758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.00 : 1,081.37 = 506.54 : x
  2. Step 2: Convert to fraction form
    722.00/1,081.37 = 506.54/x
  3. Step 3: Cross multiply
    722.00x = 1,081.37 × 506.54
  4. Step 4: Simplify right side
    722.00x = 547,753.02
  5. Step 5: Solve for x
    x = 547,753.02/722.00
  6. Step 6: Final answer
    x = 758.67

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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.