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Finding the Fourth Proportional to 472.01, 650.46 and 314.46

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Solution

The fourth proportional to 472.01, 650.46 and 314.46 is: 433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.01 : 650.46 = 314.46 : x
  2. Step 2: Convert to fraction form
    472.01/650.46 = 314.46/x
  3. Step 3: Cross multiply
    472.01x = 650.46 × 314.46
  4. Step 4: Simplify right side
    472.01x = 204,542.08
  5. Step 5: Solve for x
    x = 204,542.08/472.01
  6. Step 6: Final answer
    x = 433.35

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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.