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Finding the Fourth Proportional to 550.45, 824.95 and 421.57

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Solution

The fourth proportional to 550.45, 824.95 and 421.57 is: 631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.45 : 824.95 = 421.57 : x
  2. Step 2: Convert to fraction form
    550.45/824.95 = 421.57/x
  3. Step 3: Cross multiply
    550.45x = 824.95 × 421.57
  4. Step 4: Simplify right side
    550.45x = 347,774.17
  5. Step 5: Solve for x
    x = 347,774.17/550.45
  6. Step 6: Final answer
    x = 631.80

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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.