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Finding the Fourth Proportional to 637.07, 954.69 and 420.19

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Solution

The fourth proportional to 637.07, 954.69 and 420.19 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.07 : 954.69 = 420.19 : x
  2. Step 2: Convert to fraction form
    637.07/954.69 = 420.19/x
  3. Step 3: Cross multiply
    637.07x = 954.69 × 420.19
  4. Step 4: Simplify right side
    637.07x = 401,147.23
  5. Step 5: Solve for x
    x = 401,147.23/637.07
  6. Step 6: Final answer
    x = 629.68

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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.