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Finding the Fourth Proportional to 729.77, 1,014.06 and 722.27

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Solution

The fourth proportional to 729.77, 1,014.06 and 722.27 is: 1,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.77 : 1,014.06 = 722.27 : x
  2. Step 2: Convert to fraction form
    729.77/1,014.06 = 722.27/x
  3. Step 3: Cross multiply
    729.77x = 1,014.06 × 722.27
  4. Step 4: Simplify right side
    729.77x = 732,420.05
  5. Step 5: Solve for x
    x = 732,420.05/729.77
  6. Step 6: Final answer
    x = 1,003.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.