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Finding the Fourth Proportional to 610.56, 839.46 and 543.54

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Solution

The fourth proportional to 610.56, 839.46 and 543.54 is: 747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 839.46 = 543.54 : x
  2. Step 2: Convert to fraction form
    610.56/839.46 = 543.54/x
  3. Step 3: Cross multiply
    610.56x = 839.46 × 543.54
  4. Step 4: Simplify right side
    610.56x = 456,280.09
  5. Step 5: Solve for x
    x = 456,280.09/610.56
  6. Step 6: Final answer
    x = 747.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.