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Finding the Fourth Proportional to 2,204.71, 3,307.37 and 644.83

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Solution

The fourth proportional to 2,204.71, 3,307.37 and 644.83 is: 967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.71 : 3,307.37 = 644.83 : x
  2. Step 2: Convert to fraction form
    2,204.71/3,307.37 = 644.83/x
  3. Step 3: Cross multiply
    2,204.71x = 3,307.37 × 644.83
  4. Step 4: Simplify right side
    2,204.71x = 2,132,684.74
  5. Step 5: Solve for x
    x = 2,132,684.74/2,204.71
  6. Step 6: Final answer
    x = 967.33

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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.