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Finding the Fourth Proportional to 553.80, 764.34 and 407.19

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Solution

The fourth proportional to 553.80, 764.34 and 407.19 is: 561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.80 : 764.34 = 407.19 : x
  2. Step 2: Convert to fraction form
    553.80/764.34 = 407.19/x
  3. Step 3: Cross multiply
    553.80x = 764.34 × 407.19
  4. Step 4: Simplify right side
    553.80x = 311,231.60
  5. Step 5: Solve for x
    x = 311,231.60/553.80
  6. Step 6: Final answer
    x = 561.99

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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.