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Finding the Fourth Proportional to 861.37, 1,291.80 and 367.77

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Solution

The fourth proportional to 861.37, 1,291.80 and 367.77 is: 551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.37 : 1,291.80 = 367.77 : x
  2. Step 2: Convert to fraction form
    861.37/1,291.80 = 367.77/x
  3. Step 3: Cross multiply
    861.37x = 1,291.80 × 367.77
  4. Step 4: Simplify right side
    861.37x = 475,085.29
  5. Step 5: Solve for x
    x = 475,085.29/861.37
  6. Step 6: Final answer
    x = 551.55

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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.