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Finding the Fourth Proportional to 659.58, 989.38 and 172.70

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Solution

The fourth proportional to 659.58, 989.38 and 172.70 is: 259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.58 : 989.38 = 172.70 : x
  2. Step 2: Convert to fraction form
    659.58/989.38 = 172.70/x
  3. Step 3: Cross multiply
    659.58x = 989.38 × 172.70
  4. Step 4: Simplify right side
    659.58x = 170,865.93
  5. Step 5: Solve for x
    x = 170,865.93/659.58
  6. Step 6: Final answer
    x = 259.05

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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.