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Finding the Fourth Proportional to 666.70, 1,000.50 and 233.86

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Solution

The fourth proportional to 666.70, 1,000.50 and 233.86 is: 350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.70 : 1,000.50 = 233.86 : x
  2. Step 2: Convert to fraction form
    666.70/1,000.50 = 233.86/x
  3. Step 3: Cross multiply
    666.70x = 1,000.50 × 233.86
  4. Step 4: Simplify right side
    666.70x = 233,976.93
  5. Step 5: Solve for x
    x = 233,976.93/666.70
  6. Step 6: Final answer
    x = 350.95

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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.