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Finding the Fourth Proportional to 645.90, 962.63 and 644.87

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Solution

The fourth proportional to 645.90, 962.63 and 644.87 is: 961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.90 : 962.63 = 644.87 : x
  2. Step 2: Convert to fraction form
    645.90/962.63 = 644.87/x
  3. Step 3: Cross multiply
    645.90x = 962.63 × 644.87
  4. Step 4: Simplify right side
    645.90x = 620,767.98
  5. Step 5: Solve for x
    x = 620,767.98/645.90
  6. Step 6: Final answer
    x = 961.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.