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Finding the Fourth Proportional to 962.69, 1,443.35 and 475.41

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Solution

The fourth proportional to 962.69, 1,443.35 and 475.41 is: 712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.69 : 1,443.35 = 475.41 : x
  2. Step 2: Convert to fraction form
    962.69/1,443.35 = 475.41/x
  3. Step 3: Cross multiply
    962.69x = 1,443.35 × 475.41
  4. Step 4: Simplify right side
    962.69x = 686,183.02
  5. Step 5: Solve for x
    x = 686,183.02/962.69
  6. Step 6: Final answer
    x = 712.78

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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.