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Finding the Fourth Proportional to 1,219.48, 1,830.42 and 893.92

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Solution

The fourth proportional to 1,219.48, 1,830.42 and 893.92 is: 1,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.48 : 1,830.42 = 893.92 : x
  2. Step 2: Convert to fraction form
    1,219.48/1,830.42 = 893.92/x
  3. Step 3: Cross multiply
    1,219.48x = 1,830.42 × 893.92
  4. Step 4: Simplify right side
    1,219.48x = 1,636,249.05
  5. Step 5: Solve for x
    x = 1,636,249.05/1,219.48
  6. Step 6: Final answer
    x = 1,341.76

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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.