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Finding the Fourth Proportional to 842.99, 1,162.96 and 548.28

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Solution

The fourth proportional to 842.99, 1,162.96 and 548.28 is: 756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.99 : 1,162.96 = 548.28 : x
  2. Step 2: Convert to fraction form
    842.99/1,162.96 = 548.28/x
  3. Step 3: Cross multiply
    842.99x = 1,162.96 × 548.28
  4. Step 4: Simplify right side
    842.99x = 637,626.34
  5. Step 5: Solve for x
    x = 637,626.34/842.99
  6. Step 6: Final answer
    x = 756.39

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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.