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Finding the Fourth Proportional to 405.74, 605.30 and 394.58

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Solution

The fourth proportional to 405.74, 605.30 and 394.58 is: 588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.74 : 605.30 = 394.58 : x
  2. Step 2: Convert to fraction form
    405.74/605.30 = 394.58/x
  3. Step 3: Cross multiply
    405.74x = 605.30 × 394.58
  4. Step 4: Simplify right side
    405.74x = 238,838.81
  5. Step 5: Solve for x
    x = 238,838.81/405.74
  6. Step 6: Final answer
    x = 588.65

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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.