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Finding the Fourth Proportional to 523.09, 722.33 and 384

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Solution

The fourth proportional to 523.09, 722.33 and 384 is: 530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 722.33 = 384 : x
  2. Step 2: Convert to fraction form
    523.09/722.33 = 384/x
  3. Step 3: Cross multiply
    523.09x = 722.33 × 384
  4. Step 4: Simplify right side
    523.09x = 277,374.72
  5. Step 5: Solve for x
    x = 277,374.72/523.09
  6. Step 6: Final answer
    x = 530.26

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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.