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Finding the Fourth Proportional to 645.64, 963.20 and 623.76

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Solution

The fourth proportional to 645.64, 963.20 and 623.76 is: 930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.64 : 963.20 = 623.76 : x
  2. Step 2: Convert to fraction form
    645.64/963.20 = 623.76/x
  3. Step 3: Cross multiply
    645.64x = 963.20 × 623.76
  4. Step 4: Simplify right side
    645.64x = 600,805.63
  5. Step 5: Solve for x
    x = 600,805.63/645.64
  6. Step 6: Final answer
    x = 930.56

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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.