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Finding the Fourth Proportional to 459.31, 689 and 170.75

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Solution

The fourth proportional to 459.31, 689 and 170.75 is: 256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.31 : 689 = 170.75 : x
  2. Step 2: Convert to fraction form
    459.31/689 = 170.75/x
  3. Step 3: Cross multiply
    459.31x = 689 × 170.75
  4. Step 4: Simplify right side
    459.31x = 117,646.75
  5. Step 5: Solve for x
    x = 117,646.75/459.31
  6. Step 6: Final answer
    x = 256.14

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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.