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Finding the Fourth Proportional to 611.77, 917.97 and 406.48

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Solution

The fourth proportional to 611.77, 917.97 and 406.48 is: 609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.77 : 917.97 = 406.48 : x
  2. Step 2: Convert to fraction form
    611.77/917.97 = 406.48/x
  3. Step 3: Cross multiply
    611.77x = 917.97 × 406.48
  4. Step 4: Simplify right side
    611.77x = 373,136.45
  5. Step 5: Solve for x
    x = 373,136.45/611.77
  6. Step 6: Final answer
    x = 609.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.