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Finding the Fourth Proportional to 472.02, 650.63 and 378.60

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Solution

The fourth proportional to 472.02, 650.63 and 378.60 is: 521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 650.63 = 378.60 : x
  2. Step 2: Convert to fraction form
    472.02/650.63 = 378.60/x
  3. Step 3: Cross multiply
    472.02x = 650.63 × 378.60
  4. Step 4: Simplify right side
    472.02x = 246,326.63
  5. Step 5: Solve for x
    x = 246,326.63/472.02
  6. Step 6: Final answer
    x = 521.86

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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.