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Finding the Fourth Proportional to 483.65, 666.94 and 413.94

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Solution

The fourth proportional to 483.65, 666.94 and 413.94 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.65 : 666.94 = 413.94 : x
  2. Step 2: Convert to fraction form
    483.65/666.94 = 413.94/x
  3. Step 3: Cross multiply
    483.65x = 666.94 × 413.94
  4. Step 4: Simplify right side
    483.65x = 276,069.81
  5. Step 5: Solve for x
    x = 276,069.81/483.65
  6. Step 6: Final answer
    x = 570.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.