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Finding the Fourth Proportional to 645.55, 967.71 and 356.38

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Solution

The fourth proportional to 645.55, 967.71 and 356.38 is: 534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.55 : 967.71 = 356.38 : x
  2. Step 2: Convert to fraction form
    645.55/967.71 = 356.38/x
  3. Step 3: Cross multiply
    645.55x = 967.71 × 356.38
  4. Step 4: Simplify right side
    645.55x = 344,867.65
  5. Step 5: Solve for x
    x = 344,867.65/645.55
  6. Step 6: Final answer
    x = 534.23

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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.