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Finding the Fourth Proportional to 553.82, 830.42 and 493.06

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Solution

The fourth proportional to 553.82, 830.42 and 493.06 is: 739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.82 : 830.42 = 493.06 : x
  2. Step 2: Convert to fraction form
    553.82/830.42 = 493.06/x
  3. Step 3: Cross multiply
    553.82x = 830.42 × 493.06
  4. Step 4: Simplify right side
    553.82x = 409,446.89
  5. Step 5: Solve for x
    x = 409,446.89/553.82
  6. Step 6: Final answer
    x = 739.31

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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.