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Finding the Fourth Proportional to 637.58, 957.44 and 557.12

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Solution

The fourth proportional to 637.58, 957.44 and 557.12 is: 836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.58 : 957.44 = 557.12 : x
  2. Step 2: Convert to fraction form
    637.58/957.44 = 557.12/x
  3. Step 3: Cross multiply
    637.58x = 957.44 × 557.12
  4. Step 4: Simplify right side
    637.58x = 533,408.97
  5. Step 5: Solve for x
    x = 533,408.97/637.58
  6. Step 6: Final answer
    x = 836.61

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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.