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Finding the Fourth Proportional to 472.50, 709.41 and 464.30

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Solution

The fourth proportional to 472.50, 709.41 and 464.30 is: 697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 709.41 = 464.30 : x
  2. Step 2: Convert to fraction form
    472.50/709.41 = 464.30/x
  3. Step 3: Cross multiply
    472.50x = 709.41 × 464.30
  4. Step 4: Simplify right side
    472.50x = 329,375.52
  5. Step 5: Solve for x
    x = 329,375.52/472.50
  6. Step 6: Final answer
    x = 697.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.