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Finding the Fourth Proportional to 523, 720.42 and 391.84

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Solution

The fourth proportional to 523, 720.42 and 391.84 is: 539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 720.42 = 391.84 : x
  2. Step 2: Convert to fraction form
    523/720.42 = 391.84/x
  3. Step 3: Cross multiply
    523x = 720.42 × 391.84
  4. Step 4: Simplify right side
    523x = 282,289.37
  5. Step 5: Solve for x
    x = 282,289.37/523
  6. Step 6: Final answer
    x = 539.75

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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.