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Finding the Fourth Proportional to 2,205.03, 3,307.64 and 561.62

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Solution

The fourth proportional to 2,205.03, 3,307.64 and 561.62 is: 842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.03 : 3,307.64 = 561.62 : x
  2. Step 2: Convert to fraction form
    2,205.03/3,307.64 = 561.62/x
  3. Step 3: Cross multiply
    2,205.03x = 3,307.64 × 561.62
  4. Step 4: Simplify right side
    2,205.03x = 1,857,636.78
  5. Step 5: Solve for x
    x = 1,857,636.78/2,205.03
  6. Step 6: Final answer
    x = 842.45

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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.