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Finding the Fourth Proportional to 880.85, 1,320.36 and 295.41

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Solution

The fourth proportional to 880.85, 1,320.36 and 295.41 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.85 : 1,320.36 = 295.41 : x
  2. Step 2: Convert to fraction form
    880.85/1,320.36 = 295.41/x
  3. Step 3: Cross multiply
    880.85x = 1,320.36 × 295.41
  4. Step 4: Simplify right side
    880.85x = 390,047.55
  5. Step 5: Solve for x
    x = 390,047.55/880.85
  6. Step 6: Final answer
    x = 442.81

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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.