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Finding the Fourth Proportional to 401.64, 599.76 and 380.58

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Solution

The fourth proportional to 401.64, 599.76 and 380.58 is: 568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 599.76 = 380.58 : x
  2. Step 2: Convert to fraction form
    401.64/599.76 = 380.58/x
  3. Step 3: Cross multiply
    401.64x = 599.76 × 380.58
  4. Step 4: Simplify right side
    401.64x = 228,256.66
  5. Step 5: Solve for x
    x = 228,256.66/401.64
  6. Step 6: Final answer
    x = 568.31

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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.