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Finding the Fourth Proportional to 645.37, 967.77 and 250.00

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Solution

The fourth proportional to 645.37, 967.77 and 250.00 is: 374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.37 : 967.77 = 250.00 : x
  2. Step 2: Convert to fraction form
    645.37/967.77 = 250.00/x
  3. Step 3: Cross multiply
    645.37x = 967.77 × 250.00
  4. Step 4: Simplify right side
    645.37x = 241,940.08
  5. Step 5: Solve for x
    x = 241,940.08/645.37
  6. Step 6: Final answer
    x = 374.89

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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.