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Finding the Fourth Proportional to 861.03, 1,289.26 and 551.20

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Solution

The fourth proportional to 861.03, 1,289.26 and 551.20 is: 825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.03 : 1,289.26 = 551.20 : x
  2. Step 2: Convert to fraction form
    861.03/1,289.26 = 551.20/x
  3. Step 3: Cross multiply
    861.03x = 1,289.26 × 551.20
  4. Step 4: Simplify right side
    861.03x = 710,640.11
  5. Step 5: Solve for x
    x = 710,640.11/861.03
  6. Step 6: Final answer
    x = 825.34

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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.