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Finding the Fourth Proportional to 2,204.17, 3,306.47 and 644.20

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Solution

The fourth proportional to 2,204.17, 3,306.47 and 644.20 is: 966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.17 : 3,306.47 = 644.20 : x
  2. Step 2: Convert to fraction form
    2,204.17/3,306.47 = 644.20/x
  3. Step 3: Cross multiply
    2,204.17x = 3,306.47 × 644.20
  4. Step 4: Simplify right side
    2,204.17x = 2,130,016.49
  5. Step 5: Solve for x
    x = 2,130,016.49/2,204.17
  6. Step 6: Final answer
    x = 966.36

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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.