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Finding the Fourth Proportional to 592.77, 817.94 and 344

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Solution

The fourth proportional to 592.77, 817.94 and 344 is: 474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.77 : 817.94 = 344 : x
  2. Step 2: Convert to fraction form
    592.77/817.94 = 344/x
  3. Step 3: Cross multiply
    592.77x = 817.94 × 344
  4. Step 4: Simplify right side
    592.77x = 281,371.36
  5. Step 5: Solve for x
    x = 281,371.36/592.77
  6. Step 6: Final answer
    x = 474.67

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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.