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Finding the Fourth Proportional to 647.96, 893.34 and 471.17

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Solution

The fourth proportional to 647.96, 893.34 and 471.17 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.96 : 893.34 = 471.17 : x
  2. Step 2: Convert to fraction form
    647.96/893.34 = 471.17/x
  3. Step 3: Cross multiply
    647.96x = 893.34 × 471.17
  4. Step 4: Simplify right side
    647.96x = 420,917.24
  5. Step 5: Solve for x
    x = 420,917.24/647.96
  6. Step 6: Final answer
    x = 649.61

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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.