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Finding the Fourth Proportional to 611.02, 842.16 and 518.02

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Solution

The fourth proportional to 611.02, 842.16 and 518.02 is: 713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.02 : 842.16 = 518.02 : x
  2. Step 2: Convert to fraction form
    611.02/842.16 = 518.02/x
  3. Step 3: Cross multiply
    611.02x = 842.16 × 518.02
  4. Step 4: Simplify right side
    611.02x = 436,255.72
  5. Step 5: Solve for x
    x = 436,255.72/611.02
  6. Step 6: Final answer
    x = 713.98

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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.