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Finding the Fourth Proportional to 880.75, 1,321.10 and 511.10

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Solution

The fourth proportional to 880.75, 1,321.10 and 511.10 is: 766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.75 : 1,321.10 = 511.10 : x
  2. Step 2: Convert to fraction form
    880.75/1,321.10 = 511.10/x
  3. Step 3: Cross multiply
    880.75x = 1,321.10 × 511.10
  4. Step 4: Simplify right side
    880.75x = 675,211.65
  5. Step 5: Solve for x
    x = 675,211.65/880.75
  6. Step 6: Final answer
    x = 766.64

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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.