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Finding the Fourth Proportional to 452.20, 669.64 and 452.20

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Solution

The fourth proportional to 452.20, 669.64 and 452.20 is: 669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.20 : 669.64 = 452.20 : x
  2. Step 2: Convert to fraction form
    452.20/669.64 = 452.20/x
  3. Step 3: Cross multiply
    452.20x = 669.64 × 452.20
  4. Step 4: Simplify right side
    452.20x = 302,811.21
  5. Step 5: Solve for x
    x = 302,811.21/452.20
  6. Step 6: Final answer
    x = 669.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.