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Finding the Fourth Proportional to 523, 722.62 and 375.36

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Solution

The fourth proportional to 523, 722.62 and 375.36 is: 518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 722.62 = 375.36 : x
  2. Step 2: Convert to fraction form
    523/722.62 = 375.36/x
  3. Step 3: Cross multiply
    523x = 722.62 × 375.36
  4. Step 4: Simplify right side
    523x = 271,242.64
  5. Step 5: Solve for x
    x = 271,242.64/523
  6. Step 6: Final answer
    x = 518.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.