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Finding the Fourth Proportional to 596.64, 823.65 and 397.81

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Solution

The fourth proportional to 596.64, 823.65 and 397.81 is: 549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 823.65 = 397.81 : x
  2. Step 2: Convert to fraction form
    596.64/823.65 = 397.81/x
  3. Step 3: Cross multiply
    596.64x = 823.65 × 397.81
  4. Step 4: Simplify right side
    596.64x = 327,654.15
  5. Step 5: Solve for x
    x = 327,654.15/596.64
  6. Step 6: Final answer
    x = 549.17

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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.