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Finding the Fourth Proportional to 865.99, 1,195.16 and 512.03

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Solution

The fourth proportional to 865.99, 1,195.16 and 512.03 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.99 : 1,195.16 = 512.03 : x
  2. Step 2: Convert to fraction form
    865.99/1,195.16 = 512.03/x
  3. Step 3: Cross multiply
    865.99x = 1,195.16 × 512.03
  4. Step 4: Simplify right side
    865.99x = 611,949.24
  5. Step 5: Solve for x
    x = 611,949.24/865.99
  6. Step 6: Final answer
    x = 706.65

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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.