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Finding the Fourth Proportional to 459.72, 685.49 and 454.05

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Solution

The fourth proportional to 459.72, 685.49 and 454.05 is: 677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 685.49 = 454.05 : x
  2. Step 2: Convert to fraction form
    459.72/685.49 = 454.05/x
  3. Step 3: Cross multiply
    459.72x = 685.49 × 454.05
  4. Step 4: Simplify right side
    459.72x = 311,244.46
  5. Step 5: Solve for x
    x = 311,244.46/459.72
  6. Step 6: Final answer
    x = 677.03

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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.