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Finding the Fourth Proportional to 883.44, 1,328 and 712

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Solution

The fourth proportional to 883.44, 1,328 and 712 is: 1,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.44 : 1,328 = 712 : x
  2. Step 2: Convert to fraction form
    883.44/1,328 = 712/x
  3. Step 3: Cross multiply
    883.44x = 1,328 × 712
  4. Step 4: Simplify right side
    883.44x = 945,536
  5. Step 5: Solve for x
    x = 945,536/883.44
  6. Step 6: Final answer
    x = 1,070.29

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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.