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Finding the Fourth Proportional to 865.69, 1,195.05 and 511.49

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Solution

The fourth proportional to 865.69, 1,195.05 and 511.49 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,195.05 = 511.49 : x
  2. Step 2: Convert to fraction form
    865.69/1,195.05 = 511.49/x
  3. Step 3: Cross multiply
    865.69x = 1,195.05 × 511.49
  4. Step 4: Simplify right side
    865.69x = 611,256.12
  5. Step 5: Solve for x
    x = 611,256.12/865.69
  6. Step 6: Final answer
    x = 706.09

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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.