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Finding the Fourth Proportional to 886.52, 1,219.34 and 711.48

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Solution

The fourth proportional to 886.52, 1,219.34 and 711.48 is: 978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.52 : 1,219.34 = 711.48 : x
  2. Step 2: Convert to fraction form
    886.52/1,219.34 = 711.48/x
  3. Step 3: Cross multiply
    886.52x = 1,219.34 × 711.48
  4. Step 4: Simplify right side
    886.52x = 867,536.02
  5. Step 5: Solve for x
    x = 867,536.02/886.52
  6. Step 6: Final answer
    x = 978.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.