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Finding the Fourth Proportional to 665.91, 999.07 and 601.67

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Solution

The fourth proportional to 665.91, 999.07 and 601.67 is: 902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 999.07 = 601.67 : x
  2. Step 2: Convert to fraction form
    665.91/999.07 = 601.67/x
  3. Step 3: Cross multiply
    665.91x = 999.07 × 601.67
  4. Step 4: Simplify right side
    665.91x = 601,110.45
  5. Step 5: Solve for x
    x = 601,110.45/665.91
  6. Step 6: Final answer
    x = 902.69

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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.