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Finding the Fourth Proportional to 806.49, 1,112.54 and 511.25

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Solution

The fourth proportional to 806.49, 1,112.54 and 511.25 is: 705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.49 : 1,112.54 = 511.25 : x
  2. Step 2: Convert to fraction form
    806.49/1,112.54 = 511.25/x
  3. Step 3: Cross multiply
    806.49x = 1,112.54 × 511.25
  4. Step 4: Simplify right side
    806.49x = 568,777.96
  5. Step 5: Solve for x
    x = 568,777.96/806.49
  6. Step 6: Final answer
    x = 705.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.