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Finding the Fourth Proportional to 472.05, 651.15 and 378.90

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Solution

The fourth proportional to 472.05, 651.15 and 378.90 is: 522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.05 : 651.15 = 378.90 : x
  2. Step 2: Convert to fraction form
    472.05/651.15 = 378.90/x
  3. Step 3: Cross multiply
    472.05x = 651.15 × 378.90
  4. Step 4: Simplify right side
    472.05x = 246,720.74
  5. Step 5: Solve for x
    x = 246,720.74/472.05
  6. Step 6: Final answer
    x = 522.66

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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.