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Finding the Fourth Proportional to 459.38, 689.21 and 170.75

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Solution

The fourth proportional to 459.38, 689.21 and 170.75 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.38 : 689.21 = 170.75 : x
  2. Step 2: Convert to fraction form
    459.38/689.21 = 170.75/x
  3. Step 3: Cross multiply
    459.38x = 689.21 × 170.75
  4. Step 4: Simplify right side
    459.38x = 117,682.61
  5. Step 5: Solve for x
    x = 117,682.61/459.38
  6. Step 6: Final answer
    x = 256.18

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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.