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Finding the Fourth Proportional to 666.47, 997.67 and 434.86

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Solution

The fourth proportional to 666.47, 997.67 and 434.86 is: 650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.47 : 997.67 = 434.86 : x
  2. Step 2: Convert to fraction form
    666.47/997.67 = 434.86/x
  3. Step 3: Cross multiply
    666.47x = 997.67 × 434.86
  4. Step 4: Simplify right side
    666.47x = 433,845.37
  5. Step 5: Solve for x
    x = 433,845.37/666.47
  6. Step 6: Final answer
    x = 650.96

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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.