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Finding the Fourth Proportional to 2,204.99, 3,307.52 and 561.57

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Solution

The fourth proportional to 2,204.99, 3,307.52 and 561.57 is: 842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.99 : 3,307.52 = 561.57 : x
  2. Step 2: Convert to fraction form
    2,204.99/3,307.52 = 561.57/x
  3. Step 3: Cross multiply
    2,204.99x = 3,307.52 × 561.57
  4. Step 4: Simplify right side
    2,204.99x = 1,857,405.41
  5. Step 5: Solve for x
    x = 1,857,405.41/2,204.99
  6. Step 6: Final answer
    x = 842.36

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1.5x scale

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.