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Finding the Fourth Proportional to 666.57, 999.63 and 233.67

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Solution

The fourth proportional to 666.57, 999.63 and 233.67 is: 350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.57 : 999.63 = 233.67 : x
  2. Step 2: Convert to fraction form
    666.57/999.63 = 233.67/x
  3. Step 3: Cross multiply
    666.57x = 999.63 × 233.67
  4. Step 4: Simplify right side
    666.57x = 233,583.54
  5. Step 5: Solve for x
    x = 233,583.54/666.57
  6. Step 6: Final answer
    x = 350.43

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1.5x scale

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.