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Finding the Fourth Proportional to 1,824.31, 2,734.71 and 669.79

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Solution

The fourth proportional to 1,824.31, 2,734.71 and 669.79 is: 1,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.31 : 2,734.71 = 669.79 : x
  2. Step 2: Convert to fraction form
    1,824.31/2,734.71 = 669.79/x
  3. Step 3: Cross multiply
    1,824.31x = 2,734.71 × 669.79
  4. Step 4: Simplify right side
    1,824.31x = 1,831,681.41
  5. Step 5: Solve for x
    x = 1,831,681.41/1,824.31
  6. Step 6: Final answer
    x = 1,004.04

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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.