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Finding the Fourth Proportional to 550.91, 826.21 and 464.30

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Solution

The fourth proportional to 550.91, 826.21 and 464.30 is: 696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.91 : 826.21 = 464.30 : x
  2. Step 2: Convert to fraction form
    550.91/826.21 = 464.30/x
  3. Step 3: Cross multiply
    550.91x = 826.21 × 464.30
  4. Step 4: Simplify right side
    550.91x = 383,602.85
  5. Step 5: Solve for x
    x = 383,602.85/550.91
  6. Step 6: Final answer
    x = 696.31

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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.