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Finding the Fourth Proportional to 524.22, 785.64 and 231.62

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Solution

The fourth proportional to 524.22, 785.64 and 231.62 is: 347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 785.64 = 231.62 : x
  2. Step 2: Convert to fraction form
    524.22/785.64 = 231.62/x
  3. Step 3: Cross multiply
    524.22x = 785.64 × 231.62
  4. Step 4: Simplify right side
    524.22x = 181,969.94
  5. Step 5: Solve for x
    x = 181,969.94/524.22
  6. Step 6: Final answer
    x = 347.13

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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.