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Finding the Fourth Proportional to 644.99, 967.57 and 182.75

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Solution

The fourth proportional to 644.99, 967.57 and 182.75 is: 274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.99 : 967.57 = 182.75 : x
  2. Step 2: Convert to fraction form
    644.99/967.57 = 182.75/x
  3. Step 3: Cross multiply
    644.99x = 967.57 × 182.75
  4. Step 4: Simplify right side
    644.99x = 176,825.38
  5. Step 5: Solve for x
    x = 176,825.38/644.99
  6. Step 6: Final answer
    x = 274.15

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1.5x scale

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.