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Finding the Fourth Proportional to 405.54, 605.61 and 392.99

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Solution

The fourth proportional to 405.54, 605.61 and 392.99 is: 586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.54 : 605.61 = 392.99 : x
  2. Step 2: Convert to fraction form
    405.54/605.61 = 392.99/x
  3. Step 3: Cross multiply
    405.54x = 605.61 × 392.99
  4. Step 4: Simplify right side
    405.54x = 237,995.65
  5. Step 5: Solve for x
    x = 237,995.65/405.54
  6. Step 6: Final answer
    x = 586.86

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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.