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Finding the Fourth Proportional to 457.81, 685.33 and 295.15

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Solution

The fourth proportional to 457.81, 685.33 and 295.15 is: 441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.81 : 685.33 = 295.15 : x
  2. Step 2: Convert to fraction form
    457.81/685.33 = 295.15/x
  3. Step 3: Cross multiply
    457.81x = 685.33 × 295.15
  4. Step 4: Simplify right side
    457.81x = 202,275.15
  5. Step 5: Solve for x
    x = 202,275.15/457.81
  6. Step 6: Final answer
    x = 441.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.