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Finding the Fourth Proportional to 896.68, 1,342.21 and 617.41

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Solution

The fourth proportional to 896.68, 1,342.21 and 617.41 is: 924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.68 : 1,342.21 = 617.41 : x
  2. Step 2: Convert to fraction form
    896.68/1,342.21 = 617.41/x
  3. Step 3: Cross multiply
    896.68x = 1,342.21 × 617.41
  4. Step 4: Simplify right side
    896.68x = 828,693.88
  5. Step 5: Solve for x
    x = 828,693.88/896.68
  6. Step 6: Final answer
    x = 924.18

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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.