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Finding the Fourth Proportional to 459.42, 685.89 and 416.36

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Solution

The fourth proportional to 459.42, 685.89 and 416.36 is: 621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 685.89 = 416.36 : x
  2. Step 2: Convert to fraction form
    459.42/685.89 = 416.36/x
  3. Step 3: Cross multiply
    459.42x = 685.89 × 416.36
  4. Step 4: Simplify right side
    459.42x = 285,573.73
  5. Step 5: Solve for x
    x = 285,573.73/459.42
  6. Step 6: Final answer
    x = 621.60

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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.