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Finding the Fourth Proportional to 666.76, 1,000.36 and 210.76

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Solution

The fourth proportional to 666.76, 1,000.36 and 210.76 is: 316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.76 : 1,000.36 = 210.76 : x
  2. Step 2: Convert to fraction form
    666.76/1,000.36 = 210.76/x
  3. Step 3: Cross multiply
    666.76x = 1,000.36 × 210.76
  4. Step 4: Simplify right side
    666.76x = 210,835.87
  5. Step 5: Solve for x
    x = 210,835.87/666.76
  6. Step 6: Final answer
    x = 316.21

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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.