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Finding the Fourth Proportional to 483.66, 667.98 and 421.20

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Solution

The fourth proportional to 483.66, 667.98 and 421.20 is: 581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.66 : 667.98 = 421.20 : x
  2. Step 2: Convert to fraction form
    483.66/667.98 = 421.20/x
  3. Step 3: Cross multiply
    483.66x = 667.98 × 421.20
  4. Step 4: Simplify right side
    483.66x = 281,353.18
  5. Step 5: Solve for x
    x = 281,353.18/483.66
  6. Step 6: Final answer
    x = 581.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.