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Finding the Fourth Proportional to 609.93, 842.91 and 541.59

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Solution

The fourth proportional to 609.93, 842.91 and 541.59 is: 748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.93 : 842.91 = 541.59 : x
  2. Step 2: Convert to fraction form
    609.93/842.91 = 541.59/x
  3. Step 3: Cross multiply
    609.93x = 842.91 × 541.59
  4. Step 4: Simplify right side
    609.93x = 456,506.44
  5. Step 5: Solve for x
    x = 456,506.44/609.93
  6. Step 6: Final answer
    x = 748.46

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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.