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Finding the Fourth Proportional to 606.82, 835.30 and 529.06

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Solution

The fourth proportional to 606.82, 835.30 and 529.06 is: 728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.82 : 835.30 = 529.06 : x
  2. Step 2: Convert to fraction form
    606.82/835.30 = 529.06/x
  3. Step 3: Cross multiply
    606.82x = 835.30 × 529.06
  4. Step 4: Simplify right side
    606.82x = 441,923.82
  5. Step 5: Solve for x
    x = 441,923.82/606.82
  6. Step 6: Final answer
    x = 728.26

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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.