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Finding the Fourth Proportional to 606.88, 837.84 and 405.15

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Solution

The fourth proportional to 606.88, 837.84 and 405.15 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.88 : 837.84 = 405.15 : x
  2. Step 2: Convert to fraction form
    606.88/837.84 = 405.15/x
  3. Step 3: Cross multiply
    606.88x = 837.84 × 405.15
  4. Step 4: Simplify right side
    606.88x = 339,450.88
  5. Step 5: Solve for x
    x = 339,450.88/606.88
  6. Step 6: Final answer
    x = 559.34

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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.