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Finding the Fourth Proportional to 847.71, 1,272.02 and 642.22

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Solution

The fourth proportional to 847.71, 1,272.02 and 642.22 is: 963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.71 : 1,272.02 = 642.22 : x
  2. Step 2: Convert to fraction form
    847.71/1,272.02 = 642.22/x
  3. Step 3: Cross multiply
    847.71x = 1,272.02 × 642.22
  4. Step 4: Simplify right side
    847.71x = 816,910.29
  5. Step 5: Solve for x
    x = 816,910.29/847.71
  6. Step 6: Final answer
    x = 963.67

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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.