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Finding the Fourth Proportional to 472.14, 647.46 and 449.46

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Solution

The fourth proportional to 472.14, 647.46 and 449.46 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 647.46 = 449.46 : x
  2. Step 2: Convert to fraction form
    472.14/647.46 = 449.46/x
  3. Step 3: Cross multiply
    472.14x = 647.46 × 449.46
  4. Step 4: Simplify right side
    472.14x = 291,007.37
  5. Step 5: Solve for x
    x = 291,007.37/472.14
  6. Step 6: Final answer
    x = 616.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.