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Finding the Fourth Proportional to 880.86, 1,321.14 and 295.81

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Solution

The fourth proportional to 880.86, 1,321.14 and 295.81 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.86 : 1,321.14 = 295.81 : x
  2. Step 2: Convert to fraction form
    880.86/1,321.14 = 295.81/x
  3. Step 3: Cross multiply
    880.86x = 1,321.14 × 295.81
  4. Step 4: Simplify right side
    880.86x = 390,806.42
  5. Step 5: Solve for x
    x = 390,806.42/880.86
  6. Step 6: Final answer
    x = 443.66

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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.