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Finding the Fourth Proportional to 645.65, 968.82 and 610.81

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Solution

The fourth proportional to 645.65, 968.82 and 610.81 is: 916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.65 : 968.82 = 610.81 : x
  2. Step 2: Convert to fraction form
    645.65/968.82 = 610.81/x
  3. Step 3: Cross multiply
    645.65x = 968.82 × 610.81
  4. Step 4: Simplify right side
    645.65x = 591,764.94
  5. Step 5: Solve for x
    x = 591,764.94/645.65
  6. Step 6: Final answer
    x = 916.54

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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.