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Finding the Fourth Proportional to 459.54, 684.27 and 454.37

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Solution

The fourth proportional to 459.54, 684.27 and 454.37 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 684.27 = 454.37 : x
  2. Step 2: Convert to fraction form
    459.54/684.27 = 454.37/x
  3. Step 3: Cross multiply
    459.54x = 684.27 × 454.37
  4. Step 4: Simplify right side
    459.54x = 310,908.34
  5. Step 5: Solve for x
    x = 310,908.34/459.54
  6. Step 6: Final answer
    x = 676.56

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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.