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Finding the Fourth Proportional to 520.25, 780.48 and 231.69

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Solution

The fourth proportional to 520.25, 780.48 and 231.69 is: 347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 780.48 = 231.69 : x
  2. Step 2: Convert to fraction form
    520.25/780.48 = 231.69/x
  3. Step 3: Cross multiply
    520.25x = 780.48 × 231.69
  4. Step 4: Simplify right side
    520.25x = 180,828.25
  5. Step 5: Solve for x
    x = 180,828.25/520.25
  6. Step 6: Final answer
    x = 347.58

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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.