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Finding the Fourth Proportional to 962.98, 1,443.06 and 414.38

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Solution

The fourth proportional to 962.98, 1,443.06 and 414.38 is: 620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.98 : 1,443.06 = 414.38 : x
  2. Step 2: Convert to fraction form
    962.98/1,443.06 = 414.38/x
  3. Step 3: Cross multiply
    962.98x = 1,443.06 × 414.38
  4. Step 4: Simplify right side
    962.98x = 597,975.20
  5. Step 5: Solve for x
    x = 597,975.20/962.98
  6. Step 6: Final answer
    x = 620.96

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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.