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Finding the Fourth Proportional to 437.00, 654.43 and 421.28

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Solution

The fourth proportional to 437.00, 654.43 and 421.28 is: 630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.00 : 654.43 = 421.28 : x
  2. Step 2: Convert to fraction form
    437.00/654.43 = 421.28/x
  3. Step 3: Cross multiply
    437.00x = 654.43 × 421.28
  4. Step 4: Simplify right side
    437.00x = 275,696.16
  5. Step 5: Solve for x
    x = 275,696.16/437.00
  6. Step 6: Final answer
    x = 630.89

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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.