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Finding the Fourth Proportional to 1,412.20, 1,948.74 and 823

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Solution

The fourth proportional to 1,412.20, 1,948.74 and 823 is: 1,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.20 : 1,948.74 = 823 : x
  2. Step 2: Convert to fraction form
    1,412.20/1,948.74 = 823/x
  3. Step 3: Cross multiply
    1,412.20x = 1,948.74 × 823
  4. Step 4: Simplify right side
    1,412.20x = 1,603,813.02
  5. Step 5: Solve for x
    x = 1,603,813.02/1,412.20
  6. Step 6: Final answer
    x = 1,135.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.