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Finding the Fourth Proportional to 604.36, 827.61 and 571.06

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Solution

The fourth proportional to 604.36, 827.61 and 571.06 is: 782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.36 : 827.61 = 571.06 : x
  2. Step 2: Convert to fraction form
    604.36/827.61 = 571.06/x
  3. Step 3: Cross multiply
    604.36x = 827.61 × 571.06
  4. Step 4: Simplify right side
    604.36x = 472,614.97
  5. Step 5: Solve for x
    x = 472,614.97/604.36
  6. Step 6: Final answer
    x = 782.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.