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Finding the Fourth Proportional to 463.35, 694.03 and 431.30

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Solution

The fourth proportional to 463.35, 694.03 and 431.30 is: 646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.35 : 694.03 = 431.30 : x
  2. Step 2: Convert to fraction form
    463.35/694.03 = 431.30/x
  3. Step 3: Cross multiply
    463.35x = 694.03 × 431.30
  4. Step 4: Simplify right side
    463.35x = 299,335.26
  5. Step 5: Solve for x
    x = 299,335.26/463.35
  6. Step 6: Final answer
    x = 646.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.