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Finding the Fourth Proportional to 771.96, 1,071.58 and 723.36

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Solution

The fourth proportional to 771.96, 1,071.58 and 723.36 is: 1,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.96 : 1,071.58 = 723.36 : x
  2. Step 2: Convert to fraction form
    771.96/1,071.58 = 723.36/x
  3. Step 3: Cross multiply
    771.96x = 1,071.58 × 723.36
  4. Step 4: Simplify right side
    771.96x = 775,138.11
  5. Step 5: Solve for x
    x = 775,138.11/771.96
  6. Step 6: Final answer
    x = 1,004.12

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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.