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Finding the Fourth Proportional to 782.19, 1,172.31 and 684.48

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Solution

The fourth proportional to 782.19, 1,172.31 and 684.48 is: 1,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,172.31 = 684.48 : x
  2. Step 2: Convert to fraction form
    782.19/1,172.31 = 684.48/x
  3. Step 3: Cross multiply
    782.19x = 1,172.31 × 684.48
  4. Step 4: Simplify right side
    782.19x = 802,422.75
  5. Step 5: Solve for x
    x = 802,422.75/782.19
  6. Step 6: Final answer
    x = 1,025.87

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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.