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Finding the Fourth Proportional to 883.57, 1,325.32 and 298.93

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Solution

The fourth proportional to 883.57, 1,325.32 and 298.93 is: 448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.57 : 1,325.32 = 298.93 : x
  2. Step 2: Convert to fraction form
    883.57/1,325.32 = 298.93/x
  3. Step 3: Cross multiply
    883.57x = 1,325.32 × 298.93
  4. Step 4: Simplify right side
    883.57x = 396,177.91
  5. Step 5: Solve for x
    x = 396,177.91/883.57
  6. Step 6: Final answer
    x = 448.38

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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.