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Finding the Fourth Proportional to 1,220.79, 1,684.69 and 661.26

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Solution

The fourth proportional to 1,220.79, 1,684.69 and 661.26 is: 912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.79 : 1,684.69 = 661.26 : x
  2. Step 2: Convert to fraction form
    1,220.79/1,684.69 = 661.26/x
  3. Step 3: Cross multiply
    1,220.79x = 1,684.69 × 661.26
  4. Step 4: Simplify right side
    1,220.79x = 1,114,014.80
  5. Step 5: Solve for x
    x = 1,114,014.80/1,220.79
  6. Step 6: Final answer
    x = 912.54

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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.