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Finding the Fourth Proportional to 659.06, 908.37 and 511.41

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Solution

The fourth proportional to 659.06, 908.37 and 511.41 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.06 : 908.37 = 511.41 : x
  2. Step 2: Convert to fraction form
    659.06/908.37 = 511.41/x
  3. Step 3: Cross multiply
    659.06x = 908.37 × 511.41
  4. Step 4: Simplify right side
    659.06x = 464,549.50
  5. Step 5: Solve for x
    x = 464,549.50/659.06
  6. Step 6: Final answer
    x = 704.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.