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Finding the Fourth Proportional to 549.37, 821.09 and 505.59

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Solution

The fourth proportional to 549.37, 821.09 and 505.59 is: 755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.37 : 821.09 = 505.59 : x
  2. Step 2: Convert to fraction form
    549.37/821.09 = 505.59/x
  3. Step 3: Cross multiply
    549.37x = 821.09 × 505.59
  4. Step 4: Simplify right side
    549.37x = 415,136.99
  5. Step 5: Solve for x
    x = 415,136.99/549.37
  6. Step 6: Final answer
    x = 755.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.