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Finding the Fourth Proportional to 636.03, 954.05 and 431.01

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Solution

The fourth proportional to 636.03, 954.05 and 431.01 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.03 : 954.05 = 431.01 : x
  2. Step 2: Convert to fraction form
    636.03/954.05 = 431.01/x
  3. Step 3: Cross multiply
    636.03x = 954.05 × 431.01
  4. Step 4: Simplify right side
    636.03x = 411,202.94
  5. Step 5: Solve for x
    x = 411,202.94/636.03
  6. Step 6: Final answer
    x = 646.52

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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.