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Finding the Fourth Proportional to 659.31, 988.97 and 172.37

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Solution

The fourth proportional to 659.31, 988.97 and 172.37 is: 258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.31 : 988.97 = 172.37 : x
  2. Step 2: Convert to fraction form
    659.31/988.97 = 172.37/x
  3. Step 3: Cross multiply
    659.31x = 988.97 × 172.37
  4. Step 4: Simplify right side
    659.31x = 170,462.95
  5. Step 5: Solve for x
    x = 170,462.95/659.31
  6. Step 6: Final answer
    x = 258.55

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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.