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Finding the Fourth Proportional to 1,266.78, 1,902.40 and 720.04

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Solution

The fourth proportional to 1,266.78, 1,902.40 and 720.04 is: 1,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.78 : 1,902.40 = 720.04 : x
  2. Step 2: Convert to fraction form
    1,266.78/1,902.40 = 720.04/x
  3. Step 3: Cross multiply
    1,266.78x = 1,902.40 × 720.04
  4. Step 4: Simplify right side
    1,266.78x = 1,369,804.10
  5. Step 5: Solve for x
    x = 1,369,804.10/1,266.78
  6. Step 6: Final answer
    x = 1,081.33

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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.