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Finding the Fourth Proportional to 962.69, 1,443.22 and 653.67

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Solution

The fourth proportional to 962.69, 1,443.22 and 653.67 is: 979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.69 : 1,443.22 = 653.67 : x
  2. Step 2: Convert to fraction form
    962.69/1,443.22 = 653.67/x
  3. Step 3: Cross multiply
    962.69x = 1,443.22 × 653.67
  4. Step 4: Simplify right side
    962.69x = 943,387.98
  5. Step 5: Solve for x
    x = 943,387.98/962.69
  6. Step 6: Final answer
    x = 979.96

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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.