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Finding the Fourth Proportional to 422.34, 629.00 and 397.50

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Solution

The fourth proportional to 422.34, 629.00 and 397.50 is: 592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 629.00 = 397.50 : x
  2. Step 2: Convert to fraction form
    422.34/629.00 = 397.50/x
  3. Step 3: Cross multiply
    422.34x = 629.00 × 397.50
  4. Step 4: Simplify right side
    422.34x = 250,025.51
  5. Step 5: Solve for x
    x = 250,025.51/422.34
  6. Step 6: Final answer
    x = 592.00

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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.