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Finding the Fourth Proportional to 596.60, 823.12 and 347.75

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Solution

The fourth proportional to 596.60, 823.12 and 347.75 is: 479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.60 : 823.12 = 347.75 : x
  2. Step 2: Convert to fraction form
    596.60/823.12 = 347.75/x
  3. Step 3: Cross multiply
    596.60x = 823.12 × 347.75
  4. Step 4: Simplify right side
    596.60x = 286,239.98
  5. Step 5: Solve for x
    x = 286,239.98/596.60
  6. Step 6: Final answer
    x = 479.79

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Double scale
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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.