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Finding the Fourth Proportional to 459.22, 684.74 and 453.55

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Solution

The fourth proportional to 459.22, 684.74 and 453.55 is: 676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.22 : 684.74 = 453.55 : x
  2. Step 2: Convert to fraction form
    459.22/684.74 = 453.55/x
  3. Step 3: Cross multiply
    459.22x = 684.74 × 453.55
  4. Step 4: Simplify right side
    459.22x = 310,563.83
  5. Step 5: Solve for x
    x = 310,563.83/459.22
  6. Step 6: Final answer
    x = 676.29

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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.