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Finding the Fourth Proportional to 485.59, 670.46 and 299.14

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Solution

The fourth proportional to 485.59, 670.46 and 299.14 is: 413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.59 : 670.46 = 299.14 : x
  2. Step 2: Convert to fraction form
    485.59/670.46 = 299.14/x
  3. Step 3: Cross multiply
    485.59x = 670.46 × 299.14
  4. Step 4: Simplify right side
    485.59x = 200,561.40
  5. Step 5: Solve for x
    x = 200,561.40/485.59
  6. Step 6: Final answer
    x = 413.03

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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.