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Finding the Fourth Proportional to 596.63, 823.37 and 347.91

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Solution

The fourth proportional to 596.63, 823.37 and 347.91 is: 480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.63 : 823.37 = 347.91 : x
  2. Step 2: Convert to fraction form
    596.63/823.37 = 347.91/x
  3. Step 3: Cross multiply
    596.63x = 823.37 × 347.91
  4. Step 4: Simplify right side
    596.63x = 286,458.66
  5. Step 5: Solve for x
    x = 286,458.66/596.63
  6. Step 6: Final answer
    x = 480.13

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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.