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Finding the Fourth Proportional to 472.94, 652.84 and 321.56

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Solution

The fourth proportional to 472.94, 652.84 and 321.56 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.94 : 652.84 = 321.56 : x
  2. Step 2: Convert to fraction form
    472.94/652.84 = 321.56/x
  3. Step 3: Cross multiply
    472.94x = 652.84 × 321.56
  4. Step 4: Simplify right side
    472.94x = 209,927.23
  5. Step 5: Solve for x
    x = 209,927.23/472.94
  6. Step 6: Final answer
    x = 443.88

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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.