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Finding the Fourth Proportional to 472.68, 652.82 and 380.43

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Solution

The fourth proportional to 472.68, 652.82 and 380.43 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 652.82 = 380.43 : x
  2. Step 2: Convert to fraction form
    472.68/652.82 = 380.43/x
  3. Step 3: Cross multiply
    472.68x = 652.82 × 380.43
  4. Step 4: Simplify right side
    472.68x = 248,350.41
  5. Step 5: Solve for x
    x = 248,350.41/472.68
  6. Step 6: Final answer
    x = 525.41

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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.