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Finding the Fourth Proportional to 485.87, 670.73 and 299.51

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Solution

The fourth proportional to 485.87, 670.73 and 299.51 is: 413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.87 : 670.73 = 299.51 : x
  2. Step 2: Convert to fraction form
    485.87/670.73 = 299.51/x
  3. Step 3: Cross multiply
    485.87x = 670.73 × 299.51
  4. Step 4: Simplify right side
    485.87x = 200,888.01
  5. Step 5: Solve for x
    x = 200,888.01/485.87
  6. Step 6: Final answer
    x = 413.46

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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.