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Finding the Fourth Proportional to 401.76, 599.19 and 393.64

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Solution

The fourth proportional to 401.76, 599.19 and 393.64 is: 587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 599.19 = 393.64 : x
  2. Step 2: Convert to fraction form
    401.76/599.19 = 393.64/x
  3. Step 3: Cross multiply
    401.76x = 599.19 × 393.64
  4. Step 4: Simplify right side
    401.76x = 235,865.15
  5. Step 5: Solve for x
    x = 235,865.15/401.76
  6. Step 6: Final answer
    x = 587.08

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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.