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Finding the Fourth Proportional to 635.00, 954.38 and 430.88

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Solution

The fourth proportional to 635.00, 954.38 and 430.88 is: 647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.00 : 954.38 = 430.88 : x
  2. Step 2: Convert to fraction form
    635.00/954.38 = 430.88/x
  3. Step 3: Cross multiply
    635.00x = 954.38 × 430.88
  4. Step 4: Simplify right side
    635.00x = 411,219.56
  5. Step 5: Solve for x
    x = 411,219.56/635.00
  6. Step 6: Final answer
    x = 647.59

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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.