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Finding the Fourth Proportional to 596.79, 823.67 and 357.50

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Solution

The fourth proportional to 596.79, 823.67 and 357.50 is: 493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.79 : 823.67 = 357.50 : x
  2. Step 2: Convert to fraction form
    596.79/823.67 = 357.50/x
  3. Step 3: Cross multiply
    596.79x = 823.67 × 357.50
  4. Step 4: Simplify right side
    596.79x = 294,456.12
  5. Step 5: Solve for x
    x = 294,456.12/596.79
  6. Step 6: Final answer
    x = 493.40

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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.