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Finding the Fourth Proportional to 963.70, 1,444.20 and 847.60

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Solution

The fourth proportional to 963.70, 1,444.20 and 847.60 is: 1,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.70 : 1,444.20 = 847.60 : x
  2. Step 2: Convert to fraction form
    963.70/1,444.20 = 847.60/x
  3. Step 3: Cross multiply
    963.70x = 1,444.20 × 847.60
  4. Step 4: Simplify right side
    963.70x = 1,224,103.92
  5. Step 5: Solve for x
    x = 1,224,103.92/963.70
  6. Step 6: Final answer
    x = 1,270.21

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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.