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Finding the Fourth Proportional to 520.02, 780.27 and 231.54

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Solution

The fourth proportional to 520.02, 780.27 and 231.54 is: 347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 780.27 = 231.54 : x
  2. Step 2: Convert to fraction form
    520.02/780.27 = 231.54/x
  3. Step 3: Cross multiply
    520.02x = 780.27 × 231.54
  4. Step 4: Simplify right side
    520.02x = 180,663.72
  5. Step 5: Solve for x
    x = 180,663.72/520.02
  6. Step 6: Final answer
    x = 347.42

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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.