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Finding the Fourth Proportional to 917.96, 1,377.42 and 663.56

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Solution

The fourth proportional to 917.96, 1,377.42 and 663.56 is: 995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.96 : 1,377.42 = 663.56 : x
  2. Step 2: Convert to fraction form
    917.96/1,377.42 = 663.56/x
  3. Step 3: Cross multiply
    917.96x = 1,377.42 × 663.56
  4. Step 4: Simplify right side
    917.96x = 914,000.82
  5. Step 5: Solve for x
    x = 914,000.82/917.96
  6. Step 6: Final answer
    x = 995.69

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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.