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Finding the Fourth Proportional to 596.30, 822.86 and 347.70

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Solution

The fourth proportional to 596.30, 822.86 and 347.70 is: 479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 822.86 = 347.70 : x
  2. Step 2: Convert to fraction form
    596.30/822.86 = 347.70/x
  3. Step 3: Cross multiply
    596.30x = 822.86 × 347.70
  4. Step 4: Simplify right side
    596.30x = 286,108.42
  5. Step 5: Solve for x
    x = 286,108.42/596.30
  6. Step 6: Final answer
    x = 479.81

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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.