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Finding the Fourth Proportional to 647.02, 892.89 and 384.97

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Solution

The fourth proportional to 647.02, 892.89 and 384.97 is: 531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.02 : 892.89 = 384.97 : x
  2. Step 2: Convert to fraction form
    647.02/892.89 = 384.97/x
  3. Step 3: Cross multiply
    647.02x = 892.89 × 384.97
  4. Step 4: Simplify right side
    647.02x = 343,735.86
  5. Step 5: Solve for x
    x = 343,735.86/647.02
  6. Step 6: Final answer
    x = 531.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.