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Finding the Fourth Proportional to 1,764.15, 2,646.23 and 723.96

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Solution

The fourth proportional to 1,764.15, 2,646.23 and 723.96 is: 1,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.15 : 2,646.23 = 723.96 : x
  2. Step 2: Convert to fraction form
    1,764.15/2,646.23 = 723.96/x
  3. Step 3: Cross multiply
    1,764.15x = 2,646.23 × 723.96
  4. Step 4: Simplify right side
    1,764.15x = 1,915,765.12
  5. Step 5: Solve for x
    x = 1,915,765.12/1,764.15
  6. Step 6: Final answer
    x = 1,085.94

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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.