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Finding the Fourth Proportional to 661.44, 917.46 and 643.68

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Solution

The fourth proportional to 661.44, 917.46 and 643.68 is: 892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.44 : 917.46 = 643.68 : x
  2. Step 2: Convert to fraction form
    661.44/917.46 = 643.68/x
  3. Step 3: Cross multiply
    661.44x = 917.46 × 643.68
  4. Step 4: Simplify right side
    661.44x = 590,550.65
  5. Step 5: Solve for x
    x = 590,550.65/661.44
  6. Step 6: Final answer
    x = 892.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.