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Finding the Fourth Proportional to 659.39, 910.92 and 511.31

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Solution

The fourth proportional to 659.39, 910.92 and 511.31 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.39 : 910.92 = 511.31 : x
  2. Step 2: Convert to fraction form
    659.39/910.92 = 511.31/x
  3. Step 3: Cross multiply
    659.39x = 910.92 × 511.31
  4. Step 4: Simplify right side
    659.39x = 465,757.95
  5. Step 5: Solve for x
    x = 465,757.95/659.39
  6. Step 6: Final answer
    x = 706.35

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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.