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Finding the Fourth Proportional to 460.38, 690.51 and 171.75

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Solution

The fourth proportional to 460.38, 690.51 and 171.75 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 690.51 = 171.75 : x
  2. Step 2: Convert to fraction form
    460.38/690.51 = 171.75/x
  3. Step 3: Cross multiply
    460.38x = 690.51 × 171.75
  4. Step 4: Simplify right side
    460.38x = 118,595.09
  5. Step 5: Solve for x
    x = 118,595.09/460.38
  6. Step 6: Final answer
    x = 257.60

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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.