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Finding the Fourth Proportional to 880.47, 1,321.35 and 684.99

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Solution

The fourth proportional to 880.47, 1,321.35 and 684.99 is: 1,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,321.35 = 684.99 : x
  2. Step 2: Convert to fraction form
    880.47/1,321.35 = 684.99/x
  3. Step 3: Cross multiply
    880.47x = 1,321.35 × 684.99
  4. Step 4: Simplify right side
    880.47x = 905,111.54
  5. Step 5: Solve for x
    x = 905,111.54/880.47
  6. Step 6: Final answer
    x = 1,027.99

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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.