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Finding the Fourth Proportional to 525.26, 786.81 and 308.72

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Solution

The fourth proportional to 525.26, 786.81 and 308.72 is: 462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 786.81 = 308.72 : x
  2. Step 2: Convert to fraction form
    525.26/786.81 = 308.72/x
  3. Step 3: Cross multiply
    525.26x = 786.81 × 308.72
  4. Step 4: Simplify right side
    525.26x = 242,903.98
  5. Step 5: Solve for x
    x = 242,903.98/525.26
  6. Step 6: Final answer
    x = 462.45

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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.