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Finding the Fourth Proportional to 485.23, 669.45 and 298.58

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Solution

The fourth proportional to 485.23, 669.45 and 298.58 is: 411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.23 : 669.45 = 298.58 : x
  2. Step 2: Convert to fraction form
    485.23/669.45 = 298.58/x
  3. Step 3: Cross multiply
    485.23x = 669.45 × 298.58
  4. Step 4: Simplify right side
    485.23x = 199,884.38
  5. Step 5: Solve for x
    x = 199,884.38/485.23
  6. Step 6: Final answer
    x = 411.94

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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.