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Finding the Fourth Proportional to 605.66, 906.82 and 399.58

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Solution

The fourth proportional to 605.66, 906.82 and 399.58 is: 598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 906.82 = 399.58 : x
  2. Step 2: Convert to fraction form
    605.66/906.82 = 399.58/x
  3. Step 3: Cross multiply
    605.66x = 906.82 × 399.58
  4. Step 4: Simplify right side
    605.66x = 362,347.14
  5. Step 5: Solve for x
    x = 362,347.14/605.66
  6. Step 6: Final answer
    x = 598.27

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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.