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Finding the Fourth Proportional to 459.20, 688.37 and 170.57

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Solution

The fourth proportional to 459.20, 688.37 and 170.57 is: 255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 688.37 = 170.57 : x
  2. Step 2: Convert to fraction form
    459.20/688.37 = 170.57/x
  3. Step 3: Cross multiply
    459.20x = 688.37 × 170.57
  4. Step 4: Simplify right side
    459.20x = 117,416.14
  5. Step 5: Solve for x
    x = 117,416.14/459.20
  6. Step 6: Final answer
    x = 255.70

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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.