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Finding the Fourth Proportional to 1,079.98, 1,620.62 and 386.59

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Solution

The fourth proportional to 1,079.98, 1,620.62 and 386.59 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.98 : 1,620.62 = 386.59 : x
  2. Step 2: Convert to fraction form
    1,079.98/1,620.62 = 386.59/x
  3. Step 3: Cross multiply
    1,079.98x = 1,620.62 × 386.59
  4. Step 4: Simplify right side
    1,079.98x = 626,513.55
  5. Step 5: Solve for x
    x = 626,513.55/1,079.98
  6. Step 6: Final answer
    x = 580.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.