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Finding the Fourth Proportional to 1,152, 1,589.21 and 779.11

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Solution

The fourth proportional to 1,152, 1,589.21 and 779.11 is: 1,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152 : 1,589.21 = 779.11 : x
  2. Step 2: Convert to fraction form
    1,152/1,589.21 = 779.11/x
  3. Step 3: Cross multiply
    1,152x = 1,589.21 × 779.11
  4. Step 4: Simplify right side
    1,152x = 1,238,171.35
  5. Step 5: Solve for x
    x = 1,238,171.35/1,152
  6. Step 6: Final answer
    x = 1,074.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.