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Finding the Fourth Proportional to 596.34, 823.13 and 347.78

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Solution

The fourth proportional to 596.34, 823.13 and 347.78 is: 480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 823.13 = 347.78 : x
  2. Step 2: Convert to fraction form
    596.34/823.13 = 347.78/x
  3. Step 3: Cross multiply
    596.34x = 823.13 × 347.78
  4. Step 4: Simplify right side
    596.34x = 286,262.30
  5. Step 5: Solve for x
    x = 286,262.30/596.34
  6. Step 6: Final answer
    x = 480.03

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1.5x scale

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.