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Finding the Fourth Proportional to 883.90, 1,325.49 and 298.81

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Solution

The fourth proportional to 883.90, 1,325.49 and 298.81 is: 448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.90 : 1,325.49 = 298.81 : x
  2. Step 2: Convert to fraction form
    883.90/1,325.49 = 298.81/x
  3. Step 3: Cross multiply
    883.90x = 1,325.49 × 298.81
  4. Step 4: Simplify right side
    883.90x = 396,069.67
  5. Step 5: Solve for x
    x = 396,069.67/883.90
  6. Step 6: Final answer
    x = 448.09

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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.