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Finding the Fourth Proportional to 604.66, 905.43 and 538.51

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Solution

The fourth proportional to 604.66, 905.43 and 538.51 is: 806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.66 : 905.43 = 538.51 : x
  2. Step 2: Convert to fraction form
    604.66/905.43 = 538.51/x
  3. Step 3: Cross multiply
    604.66x = 905.43 × 538.51
  4. Step 4: Simplify right side
    604.66x = 487,583.11
  5. Step 5: Solve for x
    x = 487,583.11/604.66
  6. Step 6: Final answer
    x = 806.38

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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.