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Finding the Fourth Proportional to 550.01, 826.18 and 419.57

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Solution

The fourth proportional to 550.01, 826.18 and 419.57 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.01 : 826.18 = 419.57 : x
  2. Step 2: Convert to fraction form
    550.01/826.18 = 419.57/x
  3. Step 3: Cross multiply
    550.01x = 826.18 × 419.57
  4. Step 4: Simplify right side
    550.01x = 346,640.34
  5. Step 5: Solve for x
    x = 346,640.34/550.01
  6. Step 6: Final answer
    x = 630.24

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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.