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Finding the Fourth Proportional to 405.61, 606.29 and 395.89

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Solution

The fourth proportional to 405.61, 606.29 and 395.89 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.61 : 606.29 = 395.89 : x
  2. Step 2: Convert to fraction form
    405.61/606.29 = 395.89/x
  3. Step 3: Cross multiply
    405.61x = 606.29 × 395.89
  4. Step 4: Simplify right side
    405.61x = 240,020.65
  5. Step 5: Solve for x
    x = 240,020.65/405.61
  6. Step 6: Final answer
    x = 591.76

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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.