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Finding the Fourth Proportional to 1,599.85, 2,208.09 and 928.06

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Solution

The fourth proportional to 1,599.85, 2,208.09 and 928.06 is: 1,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.85 : 2,208.09 = 928.06 : x
  2. Step 2: Convert to fraction form
    1,599.85/2,208.09 = 928.06/x
  3. Step 3: Cross multiply
    1,599.85x = 2,208.09 × 928.06
  4. Step 4: Simplify right side
    1,599.85x = 2,049,237.97
  5. Step 5: Solve for x
    x = 2,049,237.97/1,599.85
  6. Step 6: Final answer
    x = 1,280.89

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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.