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Finding the Fourth Proportional to 524.19, 785.43 and 504.21

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Solution

The fourth proportional to 524.19, 785.43 and 504.21 is: 755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 785.43 = 504.21 : x
  2. Step 2: Convert to fraction form
    524.19/785.43 = 504.21/x
  3. Step 3: Cross multiply
    524.19x = 785.43 × 504.21
  4. Step 4: Simplify right side
    524.19x = 396,021.66
  5. Step 5: Solve for x
    x = 396,021.66/524.19
  6. Step 6: Final answer
    x = 755.49

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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.