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Finding the Fourth Proportional to 422.34, 631.02 and 407.76

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Solution

The fourth proportional to 422.34, 631.02 and 407.76 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 631.02 = 407.76 : x
  2. Step 2: Convert to fraction form
    422.34/631.02 = 407.76/x
  3. Step 3: Cross multiply
    422.34x = 631.02 × 407.76
  4. Step 4: Simplify right side
    422.34x = 257,304.72
  5. Step 5: Solve for x
    x = 257,304.72/422.34
  6. Step 6: Final answer
    x = 609.24

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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.