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Finding the Fourth Proportional to 459.48, 685.11 and 451.28

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Solution

The fourth proportional to 459.48, 685.11 and 451.28 is: 672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 685.11 = 451.28 : x
  2. Step 2: Convert to fraction form
    459.48/685.11 = 451.28/x
  3. Step 3: Cross multiply
    459.48x = 685.11 × 451.28
  4. Step 4: Simplify right side
    459.48x = 309,176.04
  5. Step 5: Solve for x
    x = 309,176.04/459.48
  6. Step 6: Final answer
    x = 672.88

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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.