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Finding the Fourth Proportional to 637.88, 957.04 and 313.47

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Solution

The fourth proportional to 637.88, 957.04 and 313.47 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.88 : 957.04 = 313.47 : x
  2. Step 2: Convert to fraction form
    637.88/957.04 = 313.47/x
  3. Step 3: Cross multiply
    637.88x = 957.04 × 313.47
  4. Step 4: Simplify right side
    637.88x = 300,003.43
  5. Step 5: Solve for x
    x = 300,003.43/637.88
  6. Step 6: Final answer
    x = 470.32

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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.