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Finding the Fourth Proportional to 2,205.18, 3,307.89 and 561.74

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Solution

The fourth proportional to 2,205.18, 3,307.89 and 561.74 is: 842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.18 : 3,307.89 = 561.74 : x
  2. Step 2: Convert to fraction form
    2,205.18/3,307.89 = 561.74/x
  3. Step 3: Cross multiply
    2,205.18x = 3,307.89 × 561.74
  4. Step 4: Simplify right side
    2,205.18x = 1,858,157.59
  5. Step 5: Solve for x
    x = 1,858,157.59/2,205.18
  6. Step 6: Final answer
    x = 842.63

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Why These Related Problems?

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