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Finding the Fourth Proportional to 1,228.98, 1,845.93 and 767.04

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Solution

The fourth proportional to 1,228.98, 1,845.93 and 767.04 is: 1,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.98 : 1,845.93 = 767.04 : x
  2. Step 2: Convert to fraction form
    1,228.98/1,845.93 = 767.04/x
  3. Step 3: Cross multiply
    1,228.98x = 1,845.93 × 767.04
  4. Step 4: Simplify right side
    1,228.98x = 1,415,902.15
  5. Step 5: Solve for x
    x = 1,415,902.15/1,228.98
  6. Step 6: Final answer
    x = 1,152.10

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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.