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Finding the Fourth Proportional to 1,059.04, 1,462.35 and 779.59

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Solution

The fourth proportional to 1,059.04, 1,462.35 and 779.59 is: 1,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.04 : 1,462.35 = 779.59 : x
  2. Step 2: Convert to fraction form
    1,059.04/1,462.35 = 779.59/x
  3. Step 3: Cross multiply
    1,059.04x = 1,462.35 × 779.59
  4. Step 4: Simplify right side
    1,059.04x = 1,140,033.44
  5. Step 5: Solve for x
    x = 1,140,033.44/1,059.04
  6. Step 6: Final answer
    x = 1,076.48

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