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Finding the Fourth Proportional to 665.98, 917.14 and 663.96

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Solution

The fourth proportional to 665.98, 917.14 and 663.96 is: 914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.98 : 917.14 = 663.96 : x
  2. Step 2: Convert to fraction form
    665.98/917.14 = 663.96/x
  3. Step 3: Cross multiply
    665.98x = 917.14 × 663.96
  4. Step 4: Simplify right side
    665.98x = 608,944.27
  5. Step 5: Solve for x
    x = 608,944.27/665.98
  6. Step 6: Final answer
    x = 914.36

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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.