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Finding the Fourth Proportional to 647.08, 892.26 and 472.36

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Solution

The fourth proportional to 647.08, 892.26 and 472.36 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.08 : 892.26 = 472.36 : x
  2. Step 2: Convert to fraction form
    647.08/892.26 = 472.36/x
  3. Step 3: Cross multiply
    647.08x = 892.26 × 472.36
  4. Step 4: Simplify right side
    647.08x = 421,467.93
  5. Step 5: Solve for x
    x = 421,467.93/647.08
  6. Step 6: Final answer
    x = 651.34

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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.