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Finding the Fourth Proportional to 472.50, 651.24 and 389.34

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Solution

The fourth proportional to 472.50, 651.24 and 389.34 is: 536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 651.24 = 389.34 : x
  2. Step 2: Convert to fraction form
    472.50/651.24 = 389.34/x
  3. Step 3: Cross multiply
    472.50x = 651.24 × 389.34
  4. Step 4: Simplify right side
    472.50x = 253,553.78
  5. Step 5: Solve for x
    x = 253,553.78/472.50
  6. Step 6: Final answer
    x = 536.62

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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.