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Finding the Fourth Proportional to 1,608.81, 2,220.15 and 900.77

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Solution

The fourth proportional to 1,608.81, 2,220.15 and 900.77 is: 1,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.81 : 2,220.15 = 900.77 : x
  2. Step 2: Convert to fraction form
    1,608.81/2,220.15 = 900.77/x
  3. Step 3: Cross multiply
    1,608.81x = 2,220.15 × 900.77
  4. Step 4: Simplify right side
    1,608.81x = 1,999,842.95
  5. Step 5: Solve for x
    x = 1,999,842.95/1,608.81
  6. Step 6: Final answer
    x = 1,243.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.