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Finding the Fourth Proportional to 635.99, 954.02 and 405.34

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Solution

The fourth proportional to 635.99, 954.02 and 405.34 is: 608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.99 : 954.02 = 405.34 : x
  2. Step 2: Convert to fraction form
    635.99/954.02 = 405.34/x
  3. Step 3: Cross multiply
    635.99x = 954.02 × 405.34
  4. Step 4: Simplify right side
    635.99x = 386,701.10
  5. Step 5: Solve for x
    x = 386,701.10/635.99
  6. Step 6: Final answer
    x = 608.03

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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.