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Finding the Fourth Proportional to 1,228.07, 1,841.91 and 362.18

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Solution

The fourth proportional to 1,228.07, 1,841.91 and 362.18 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.07 : 1,841.91 = 362.18 : x
  2. Step 2: Convert to fraction form
    1,228.07/1,841.91 = 362.18/x
  3. Step 3: Cross multiply
    1,228.07x = 1,841.91 × 362.18
  4. Step 4: Simplify right side
    1,228.07x = 667,102.96
  5. Step 5: Solve for x
    x = 667,102.96/1,228.07
  6. Step 6: Final answer
    x = 543.21

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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.