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Finding the Fourth Proportional to 401.74, 599.33 and 390.58

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Solution

The fourth proportional to 401.74, 599.33 and 390.58 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.74 : 599.33 = 390.58 : x
  2. Step 2: Convert to fraction form
    401.74/599.33 = 390.58/x
  3. Step 3: Cross multiply
    401.74x = 599.33 × 390.58
  4. Step 4: Simplify right side
    401.74x = 234,086.31
  5. Step 5: Solve for x
    x = 234,086.31/401.74
  6. Step 6: Final answer
    x = 582.68

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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.