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Finding the Fourth Proportional to 452.81, 675.96 and 420.69

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Solution

The fourth proportional to 452.81, 675.96 and 420.69 is: 628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.81 : 675.96 = 420.69 : x
  2. Step 2: Convert to fraction form
    452.81/675.96 = 420.69/x
  3. Step 3: Cross multiply
    452.81x = 675.96 × 420.69
  4. Step 4: Simplify right side
    452.81x = 284,369.61
  5. Step 5: Solve for x
    x = 284,369.61/452.81
  6. Step 6: Final answer
    x = 628.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.