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Finding the Fourth Proportional to 665.76, 993.61 and 648.48

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Solution

The fourth proportional to 665.76, 993.61 and 648.48 is: 967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.76 : 993.61 = 648.48 : x
  2. Step 2: Convert to fraction form
    665.76/993.61 = 648.48/x
  3. Step 3: Cross multiply
    665.76x = 993.61 × 648.48
  4. Step 4: Simplify right side
    665.76x = 644,336.21
  5. Step 5: Solve for x
    x = 644,336.21/665.76
  6. Step 6: Final answer
    x = 967.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.