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Finding the Fourth Proportional to 880.19, 1,318.70 and 828.14

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Solution

The fourth proportional to 880.19, 1,318.70 and 828.14 is: 1,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.19 : 1,318.70 = 828.14 : x
  2. Step 2: Convert to fraction form
    880.19/1,318.70 = 828.14/x
  3. Step 3: Cross multiply
    880.19x = 1,318.70 × 828.14
  4. Step 4: Simplify right side
    880.19x = 1,092,057.48
  5. Step 5: Solve for x
    x = 1,092,057.48/880.19
  6. Step 6: Final answer
    x = 1,240.71

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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.