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Finding the Fourth Proportional to 1,618.35, 2,428.70 and 644.73

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Solution

The fourth proportional to 1,618.35, 2,428.70 and 644.73 is: 967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.35 : 2,428.70 = 644.73 : x
  2. Step 2: Convert to fraction form
    1,618.35/2,428.70 = 644.73/x
  3. Step 3: Cross multiply
    1,618.35x = 2,428.70 × 644.73
  4. Step 4: Simplify right side
    1,618.35x = 1,565,852.53
  5. Step 5: Solve for x
    x = 1,565,852.53/1,618.35
  6. Step 6: Final answer
    x = 967.56

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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.