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Finding the Fourth Proportional to 553.59, 830.36 and 206.79

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Solution

The fourth proportional to 553.59, 830.36 and 206.79 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.59 : 830.36 = 206.79 : x
  2. Step 2: Convert to fraction form
    553.59/830.36 = 206.79/x
  3. Step 3: Cross multiply
    553.59x = 830.36 × 206.79
  4. Step 4: Simplify right side
    553.59x = 171,709.11
  5. Step 5: Solve for x
    x = 171,709.11/553.59
  6. Step 6: Final answer
    x = 310.17

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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.