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Finding the Fourth Proportional to 665.45, 998.86 and 480.93

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Solution

The fourth proportional to 665.45, 998.86 and 480.93 is: 721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.45 : 998.86 = 480.93 : x
  2. Step 2: Convert to fraction form
    665.45/998.86 = 480.93/x
  3. Step 3: Cross multiply
    665.45x = 998.86 × 480.93
  4. Step 4: Simplify right side
    665.45x = 480,381.74
  5. Step 5: Solve for x
    x = 480,381.74/665.45
  6. Step 6: Final answer
    x = 721.89

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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.