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Finding the Fourth Proportional to 606.01, 835.82 and 406.77

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Solution

The fourth proportional to 606.01, 835.82 and 406.77 is: 561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.01 : 835.82 = 406.77 : x
  2. Step 2: Convert to fraction form
    606.01/835.82 = 406.77/x
  3. Step 3: Cross multiply
    606.01x = 835.82 × 406.77
  4. Step 4: Simplify right side
    606.01x = 339,986.50
  5. Step 5: Solve for x
    x = 339,986.50/606.01
  6. Step 6: Final answer
    x = 561.02

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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.