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Finding the Fourth Proportional to 2,205.54, 3,307.77 and 666.54

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Solution

The fourth proportional to 2,205.54, 3,307.77 and 666.54 is: 999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.54 : 3,307.77 = 666.54 : x
  2. Step 2: Convert to fraction form
    2,205.54/3,307.77 = 666.54/x
  3. Step 3: Cross multiply
    2,205.54x = 3,307.77 × 666.54
  4. Step 4: Simplify right side
    2,205.54x = 2,204,761.02
  5. Step 5: Solve for x
    x = 2,204,761.02/2,205.54
  6. Step 6: Final answer
    x = 999.65

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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.