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Finding the Fourth Proportional to 1,609.00, 2,220.80 and 946.06

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Solution

The fourth proportional to 1,609.00, 2,220.80 and 946.06 is: 1,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.00 : 2,220.80 = 946.06 : x
  2. Step 2: Convert to fraction form
    1,609.00/2,220.80 = 946.06/x
  3. Step 3: Cross multiply
    1,609.00x = 2,220.80 × 946.06
  4. Step 4: Simplify right side
    1,609.00x = 2,100,999.77
  5. Step 5: Solve for x
    x = 2,100,999.77/1,609.00
  6. Step 6: Final answer
    x = 1,305.78

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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.