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Finding the Fourth Proportional to 844.92, 1,264.20 and 706.50

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Solution

The fourth proportional to 844.92, 1,264.20 and 706.50 is: 1,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.92 : 1,264.20 = 706.50 : x
  2. Step 2: Convert to fraction form
    844.92/1,264.20 = 706.50/x
  3. Step 3: Cross multiply
    844.92x = 1,264.20 × 706.50
  4. Step 4: Simplify right side
    844.92x = 893,157.30
  5. Step 5: Solve for x
    x = 893,157.30/844.92
  6. Step 6: Final answer
    x = 1,057.09

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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.