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Finding the Fourth Proportional to 550.02, 824.40 and 421.50

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Solution

The fourth proportional to 550.02, 824.40 and 421.50 is: 631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 824.40 = 421.50 : x
  2. Step 2: Convert to fraction form
    550.02/824.40 = 421.50/x
  3. Step 3: Cross multiply
    550.02x = 824.40 × 421.50
  4. Step 4: Simplify right side
    550.02x = 347,484.60
  5. Step 5: Solve for x
    x = 347,484.60/550.02
  6. Step 6: Final answer
    x = 631.77

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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.