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Finding the Fourth Proportional to 596.90, 823.57 and 357.70

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Solution

The fourth proportional to 596.90, 823.57 and 357.70 is: 493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 823.57 = 357.70 : x
  2. Step 2: Convert to fraction form
    596.90/823.57 = 357.70/x
  3. Step 3: Cross multiply
    596.90x = 823.57 × 357.70
  4. Step 4: Simplify right side
    596.90x = 294,589.20
  5. Step 5: Solve for x
    x = 294,589.20/596.90
  6. Step 6: Final answer
    x = 493.54

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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.