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Finding the Fourth Proportional to 464.30, 694.45 and 415.90

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Solution

The fourth proportional to 464.30, 694.45 and 415.90 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 694.45 = 415.90 : x
  2. Step 2: Convert to fraction form
    464.30/694.45 = 415.90/x
  3. Step 3: Cross multiply
    464.30x = 694.45 × 415.90
  4. Step 4: Simplify right side
    464.30x = 288,821.76
  5. Step 5: Solve for x
    x = 288,821.76/464.30
  6. Step 6: Final answer
    x = 622.06

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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.