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Finding the Fourth Proportional to 452.02, 622.84 and 402.37

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Solution

The fourth proportional to 452.02, 622.84 and 402.37 is: 554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.02 : 622.84 = 402.37 : x
  2. Step 2: Convert to fraction form
    452.02/622.84 = 402.37/x
  3. Step 3: Cross multiply
    452.02x = 622.84 × 402.37
  4. Step 4: Simplify right side
    452.02x = 250,612.13
  5. Step 5: Solve for x
    x = 250,612.13/452.02
  6. Step 6: Final answer
    x = 554.43

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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.