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Finding the Fourth Proportional to 407.63, 608.72 and 276.62

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Solution

The fourth proportional to 407.63, 608.72 and 276.62 is: 413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.63 : 608.72 = 276.62 : x
  2. Step 2: Convert to fraction form
    407.63/608.72 = 276.62/x
  3. Step 3: Cross multiply
    407.63x = 608.72 × 276.62
  4. Step 4: Simplify right side
    407.63x = 168,379.70
  5. Step 5: Solve for x
    x = 168,379.70/407.63
  6. Step 6: Final answer
    x = 413.07

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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.