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Finding the Fourth Proportional to 459.20, 685.24 and 418.32

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Solution

The fourth proportional to 459.20, 685.24 and 418.32 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 685.24 = 418.32 : x
  2. Step 2: Convert to fraction form
    459.20/685.24 = 418.32/x
  3. Step 3: Cross multiply
    459.20x = 685.24 × 418.32
  4. Step 4: Simplify right side
    459.20x = 286,649.60
  5. Step 5: Solve for x
    x = 286,649.60/459.20
  6. Step 6: Final answer
    x = 624.24

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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.