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Finding the Fourth Proportional to 645.62, 965.93 and 412.57

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Solution

The fourth proportional to 645.62, 965.93 and 412.57 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.62 : 965.93 = 412.57 : x
  2. Step 2: Convert to fraction form
    645.62/965.93 = 412.57/x
  3. Step 3: Cross multiply
    645.62x = 965.93 × 412.57
  4. Step 4: Simplify right side
    645.62x = 398,510.17
  5. Step 5: Solve for x
    x = 398,510.17/645.62
  6. Step 6: Final answer
    x = 617.25

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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.