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Finding the Fourth Proportional to 806.34, 1,112.40 and 543.90

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Solution

The fourth proportional to 806.34, 1,112.40 and 543.90 is: 750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.34 : 1,112.40 = 543.90 : x
  2. Step 2: Convert to fraction form
    806.34/1,112.40 = 543.90/x
  3. Step 3: Cross multiply
    806.34x = 1,112.40 × 543.90
  4. Step 4: Simplify right side
    806.34x = 605,034.36
  5. Step 5: Solve for x
    x = 605,034.36/806.34
  6. Step 6: Final answer
    x = 750.35

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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.