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Finding the Fourth Proportional to 645.56, 963.38 and 576.35

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Solution

The fourth proportional to 645.56, 963.38 and 576.35 is: 860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 963.38 = 576.35 : x
  2. Step 2: Convert to fraction form
    645.56/963.38 = 576.35/x
  3. Step 3: Cross multiply
    645.56x = 963.38 × 576.35
  4. Step 4: Simplify right side
    645.56x = 555,247.55
  5. Step 5: Solve for x
    x = 555,247.55/645.56
  6. Step 6: Final answer
    x = 860.11

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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.