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Finding the Fourth Proportional to 459.60, 685.38 and 454.80

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Solution

The fourth proportional to 459.60, 685.38 and 454.80 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.60 : 685.38 = 454.80 : x
  2. Step 2: Convert to fraction form
    459.60/685.38 = 454.80/x
  3. Step 3: Cross multiply
    459.60x = 685.38 × 454.80
  4. Step 4: Simplify right side
    459.60x = 311,710.82
  5. Step 5: Solve for x
    x = 311,710.82/459.60
  6. Step 6: Final answer
    x = 678.22

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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.