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Finding the Fourth Proportional to 553.56, 764 and 406.60

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Solution

The fourth proportional to 553.56, 764 and 406.60 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.56 : 764 = 406.60 : x
  2. Step 2: Convert to fraction form
    553.56/764 = 406.60/x
  3. Step 3: Cross multiply
    553.56x = 764 × 406.60
  4. Step 4: Simplify right side
    553.56x = 310,642.40
  5. Step 5: Solve for x
    x = 310,642.40/553.56
  6. Step 6: Final answer
    x = 561.17

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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.