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Finding the Fourth Proportional to 520.86, 780.93 and 232.14

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Solution

The fourth proportional to 520.86, 780.93 and 232.14 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.86 : 780.93 = 232.14 : x
  2. Step 2: Convert to fraction form
    520.86/780.93 = 232.14/x
  3. Step 3: Cross multiply
    520.86x = 780.93 × 232.14
  4. Step 4: Simplify right side
    520.86x = 181,285.09
  5. Step 5: Solve for x
    x = 181,285.09/520.86
  6. Step 6: Final answer
    x = 348.05

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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.