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Finding the Fourth Proportional to 1,228.08, 1,841.02 and 447.94

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Solution

The fourth proportional to 1,228.08, 1,841.02 and 447.94 is: 671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.08 : 1,841.02 = 447.94 : x
  2. Step 2: Convert to fraction form
    1,228.08/1,841.02 = 447.94/x
  3. Step 3: Cross multiply
    1,228.08x = 1,841.02 × 447.94
  4. Step 4: Simplify right side
    1,228.08x = 824,666.50
  5. Step 5: Solve for x
    x = 824,666.50/1,228.08
  6. Step 6: Final answer
    x = 671.51

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Double scale
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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.