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Finding the Fourth Proportional to 467.79, 697.62 and 399.75

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Solution

The fourth proportional to 467.79, 697.62 and 399.75 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.79 : 697.62 = 399.75 : x
  2. Step 2: Convert to fraction form
    467.79/697.62 = 399.75/x
  3. Step 3: Cross multiply
    467.79x = 697.62 × 399.75
  4. Step 4: Simplify right side
    467.79x = 278,873.60
  5. Step 5: Solve for x
    x = 278,873.60/467.79
  6. Step 6: Final answer
    x = 596.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.