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Finding the Fourth Proportional to 459.42, 689.38 and 305.42

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Solution

The fourth proportional to 459.42, 689.38 and 305.42 is: 458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 689.38 = 305.42 : x
  2. Step 2: Convert to fraction form
    459.42/689.38 = 305.42/x
  3. Step 3: Cross multiply
    459.42x = 689.38 × 305.42
  4. Step 4: Simplify right side
    459.42x = 210,550.44
  5. Step 5: Solve for x
    x = 210,550.44/459.42
  6. Step 6: Final answer
    x = 458.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.