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Finding the Fourth Proportional to 665.36, 996.29 and 469.30

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Solution

The fourth proportional to 665.36, 996.29 and 469.30 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.36 : 996.29 = 469.30 : x
  2. Step 2: Convert to fraction form
    665.36/996.29 = 469.30/x
  3. Step 3: Cross multiply
    665.36x = 996.29 × 469.30
  4. Step 4: Simplify right side
    665.36x = 467,554.06
  5. Step 5: Solve for x
    x = 467,554.06/665.36
  6. Step 6: Final answer
    x = 702.71

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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.