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Finding the Fourth Proportional to 459.75, 685.19 and 455.92

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Solution

The fourth proportional to 459.75, 685.19 and 455.92 is: 679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 685.19 = 455.92 : x
  2. Step 2: Convert to fraction form
    459.75/685.19 = 455.92/x
  3. Step 3: Cross multiply
    459.75x = 685.19 × 455.92
  4. Step 4: Simplify right side
    459.75x = 312,391.82
  5. Step 5: Solve for x
    x = 312,391.82/459.75
  6. Step 6: Final answer
    x = 679.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.