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Finding the Fourth Proportional to 523.25, 722.09 and 368.27

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Solution

The fourth proportional to 523.25, 722.09 and 368.27 is: 508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.25 : 722.09 = 368.27 : x
  2. Step 2: Convert to fraction form
    523.25/722.09 = 368.27/x
  3. Step 3: Cross multiply
    523.25x = 722.09 × 368.27
  4. Step 4: Simplify right side
    523.25x = 265,924.08
  5. Step 5: Solve for x
    x = 265,924.08/523.25
  6. Step 6: Final answer
    x = 508.22

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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.