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Finding the Fourth Proportional to 865.86, 1,194.86 and 511.80

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Solution

The fourth proportional to 865.86, 1,194.86 and 511.80 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.86 : 1,194.86 = 511.80 : x
  2. Step 2: Convert to fraction form
    865.86/1,194.86 = 511.80/x
  3. Step 3: Cross multiply
    865.86x = 1,194.86 × 511.80
  4. Step 4: Simplify right side
    865.86x = 611,526.79
  5. Step 5: Solve for x
    x = 611,526.79/865.86
  6. Step 6: Final answer
    x = 706.27

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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.