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Finding the Fourth Proportional to 996.21, 1,492.61 and 557.37

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Solution

The fourth proportional to 996.21, 1,492.61 and 557.37 is: 835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.21 : 1,492.61 = 557.37 : x
  2. Step 2: Convert to fraction form
    996.21/1,492.61 = 557.37/x
  3. Step 3: Cross multiply
    996.21x = 1,492.61 × 557.37
  4. Step 4: Simplify right side
    996.21x = 831,927.65
  5. Step 5: Solve for x
    x = 831,927.65/996.21
  6. Step 6: Final answer
    x = 835.09

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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.