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Finding the Fourth Proportional to 659.82, 989.70 and 275.07

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Solution

The fourth proportional to 659.82, 989.70 and 275.07 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 989.70 = 275.07 : x
  2. Step 2: Convert to fraction form
    659.82/989.70 = 275.07/x
  3. Step 3: Cross multiply
    659.82x = 989.70 × 275.07
  4. Step 4: Simplify right side
    659.82x = 272,236.78
  5. Step 5: Solve for x
    x = 272,236.78/659.82
  6. Step 6: Final answer
    x = 412.59

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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.