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Finding the Fourth Proportional to 520.14, 780.56 and 231.60

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Solution

The fourth proportional to 520.14, 780.56 and 231.60 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 780.56 = 231.60 : x
  2. Step 2: Convert to fraction form
    520.14/780.56 = 231.60/x
  3. Step 3: Cross multiply
    520.14x = 780.56 × 231.60
  4. Step 4: Simplify right side
    520.14x = 180,777.70
  5. Step 5: Solve for x
    x = 180,777.70/520.14
  6. Step 6: Final answer
    x = 347.56

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Why These Related Problems?

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