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Finding the Fourth Proportional to 596.99, 823.79 and 348.30

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Solution

The fourth proportional to 596.99, 823.79 and 348.30 is: 480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.99 : 823.79 = 348.30 : x
  2. Step 2: Convert to fraction form
    596.99/823.79 = 348.30/x
  3. Step 3: Cross multiply
    596.99x = 823.79 × 348.30
  4. Step 4: Simplify right side
    596.99x = 286,926.93
  5. Step 5: Solve for x
    x = 286,926.93/596.99
  6. Step 6: Final answer
    x = 480.62

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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.