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Finding the Fourth Proportional to 457.94, 685.40 and 394.58

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Solution

The fourth proportional to 457.94, 685.40 and 394.58 is: 590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.94 : 685.40 = 394.58 : x
  2. Step 2: Convert to fraction form
    457.94/685.40 = 394.58/x
  3. Step 3: Cross multiply
    457.94x = 685.40 × 394.58
  4. Step 4: Simplify right side
    457.94x = 270,445.13
  5. Step 5: Solve for x
    x = 270,445.13/457.94
  6. Step 6: Final answer
    x = 590.57

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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.