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Finding the Fourth Proportional to 965.72, 1,446.64 and 445

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Solution

The fourth proportional to 965.72, 1,446.64 and 445 is: 666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.72 : 1,446.64 = 445 : x
  2. Step 2: Convert to fraction form
    965.72/1,446.64 = 445/x
  3. Step 3: Cross multiply
    965.72x = 1,446.64 × 445
  4. Step 4: Simplify right side
    965.72x = 643,754.80
  5. Step 5: Solve for x
    x = 643,754.80/965.72
  6. Step 6: Final answer
    x = 666.61

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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.