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Finding the Fourth Proportional to 806.70, 1,208.79 and 714.36

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Solution

The fourth proportional to 806.70, 1,208.79 and 714.36 is: 1,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.70 : 1,208.79 = 714.36 : x
  2. Step 2: Convert to fraction form
    806.70/1,208.79 = 714.36/x
  3. Step 3: Cross multiply
    806.70x = 1,208.79 × 714.36
  4. Step 4: Simplify right side
    806.70x = 863,511.22
  5. Step 5: Solve for x
    x = 863,511.22/806.70
  6. Step 6: Final answer
    x = 1,070.42

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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.