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Finding the Fourth Proportional to 637.54, 957.24 and 395.08

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Solution

The fourth proportional to 637.54, 957.24 and 395.08 is: 593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.54 : 957.24 = 395.08 : x
  2. Step 2: Convert to fraction form
    637.54/957.24 = 395.08/x
  3. Step 3: Cross multiply
    637.54x = 957.24 × 395.08
  4. Step 4: Simplify right side
    637.54x = 378,186.38
  5. Step 5: Solve for x
    x = 378,186.38/637.54
  6. Step 6: Final answer
    x = 593.20

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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.