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Finding the Fourth Proportional to 896.58, 1,237.14 and 634.14

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Solution

The fourth proportional to 896.58, 1,237.14 and 634.14 is: 875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.58 : 1,237.14 = 634.14 : x
  2. Step 2: Convert to fraction form
    896.58/1,237.14 = 634.14/x
  3. Step 3: Cross multiply
    896.58x = 1,237.14 × 634.14
  4. Step 4: Simplify right side
    896.58x = 784,519.96
  5. Step 5: Solve for x
    x = 784,519.96/896.58
  6. Step 6: Final answer
    x = 875.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.