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Finding the Fourth Proportional to 522.96, 782.42 and 360.15

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Solution

The fourth proportional to 522.96, 782.42 and 360.15 is: 538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 782.42 = 360.15 : x
  2. Step 2: Convert to fraction form
    522.96/782.42 = 360.15/x
  3. Step 3: Cross multiply
    522.96x = 782.42 × 360.15
  4. Step 4: Simplify right side
    522.96x = 281,786.76
  5. Step 5: Solve for x
    x = 281,786.76/522.96
  6. Step 6: Final answer
    x = 538.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.