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Finding the Fourth Proportional to 458.67, 685.94 and 293.74

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Solution

The fourth proportional to 458.67, 685.94 and 293.74 is: 439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.67 : 685.94 = 293.74 : x
  2. Step 2: Convert to fraction form
    458.67/685.94 = 293.74/x
  3. Step 3: Cross multiply
    458.67x = 685.94 × 293.74
  4. Step 4: Simplify right side
    458.67x = 201,484.83
  5. Step 5: Solve for x
    x = 201,484.83/458.67
  6. Step 6: Final answer
    x = 439.28

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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.