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Finding the Fourth Proportional to 883.81, 1,325.83 and 298.98

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Solution

The fourth proportional to 883.81, 1,325.83 and 298.98 is: 448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.81 : 1,325.83 = 298.98 : x
  2. Step 2: Convert to fraction form
    883.81/1,325.83 = 298.98/x
  3. Step 3: Cross multiply
    883.81x = 1,325.83 × 298.98
  4. Step 4: Simplify right side
    883.81x = 396,390.02
  5. Step 5: Solve for x
    x = 396,390.02/883.81
  6. Step 6: Final answer
    x = 448.50

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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.