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Finding the Fourth Proportional to 553.53, 764.13 and 420.80

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Solution

The fourth proportional to 553.53, 764.13 and 420.80 is: 580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.53 : 764.13 = 420.80 : x
  2. Step 2: Convert to fraction form
    553.53/764.13 = 420.80/x
  3. Step 3: Cross multiply
    553.53x = 764.13 × 420.80
  4. Step 4: Simplify right side
    553.53x = 321,543.66
  5. Step 5: Solve for x
    x = 321,543.66/553.53
  6. Step 6: Final answer
    x = 580.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.