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Finding the Fourth Proportional to 1,208.79, 1,811.97 and 558.90

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Solution

The fourth proportional to 1,208.79, 1,811.97 and 558.90 is: 837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.79 : 1,811.97 = 558.90 : x
  2. Step 2: Convert to fraction form
    1,208.79/1,811.97 = 558.90/x
  3. Step 3: Cross multiply
    1,208.79x = 1,811.97 × 558.90
  4. Step 4: Simplify right side
    1,208.79x = 1,012,710.03
  5. Step 5: Solve for x
    x = 1,012,710.03/1,208.79
  6. Step 6: Final answer
    x = 837.79

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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.