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Finding the Fourth Proportional to 1,608.83, 2,220.14 and 900.63

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Solution

The fourth proportional to 1,608.83, 2,220.14 and 900.63 is: 1,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.83 : 2,220.14 = 900.63 : x
  2. Step 2: Convert to fraction form
    1,608.83/2,220.14 = 900.63/x
  3. Step 3: Cross multiply
    1,608.83x = 2,220.14 × 900.63
  4. Step 4: Simplify right side
    1,608.83x = 1,999,526.94
  5. Step 5: Solve for x
    x = 1,999,526.94/1,608.83
  6. Step 6: Final answer
    x = 1,242.85

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1.5x scale

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.