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Finding the Fourth Proportional to 676.30, 932.97 and 440.23

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Solution

The fourth proportional to 676.30, 932.97 and 440.23 is: 607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 932.97 = 440.23 : x
  2. Step 2: Convert to fraction form
    676.30/932.97 = 440.23/x
  3. Step 3: Cross multiply
    676.30x = 932.97 × 440.23
  4. Step 4: Simplify right side
    676.30x = 410,721.38
  5. Step 5: Solve for x
    x = 410,721.38/676.30
  6. Step 6: Final answer
    x = 607.31

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1.5x scale

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.