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Finding the Fourth Proportional to 637.96, 957.90 and 364.36

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Solution

The fourth proportional to 637.96, 957.90 and 364.36 is: 547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.96 : 957.90 = 364.36 : x
  2. Step 2: Convert to fraction form
    637.96/957.90 = 364.36/x
  3. Step 3: Cross multiply
    637.96x = 957.90 × 364.36
  4. Step 4: Simplify right side
    637.96x = 349,020.44
  5. Step 5: Solve for x
    x = 349,020.44/637.96
  6. Step 6: Final answer
    x = 547.09

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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.