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Finding the Fourth Proportional to 1,769.02, 2,652.61 and 794.28

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Solution

The fourth proportional to 1,769.02, 2,652.61 and 794.28 is: 1,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.02 : 2,652.61 = 794.28 : x
  2. Step 2: Convert to fraction form
    1,769.02/2,652.61 = 794.28/x
  3. Step 3: Cross multiply
    1,769.02x = 2,652.61 × 794.28
  4. Step 4: Simplify right side
    1,769.02x = 2,106,915.07
  5. Step 5: Solve for x
    x = 2,106,915.07/1,769.02
  6. Step 6: Final answer
    x = 1,191.01

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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.