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Finding the Fourth Proportional to 414.63, 619.64 and 276.53

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Solution

The fourth proportional to 414.63, 619.64 and 276.53 is: 413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 619.64 = 276.53 : x
  2. Step 2: Convert to fraction form
    414.63/619.64 = 276.53/x
  3. Step 3: Cross multiply
    414.63x = 619.64 × 276.53
  4. Step 4: Simplify right side
    414.63x = 171,345.61
  5. Step 5: Solve for x
    x = 171,345.61/414.63
  6. Step 6: Final answer
    x = 413.25

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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.