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Finding the Fourth Proportional to 865.17, 1,297.17 and 431.46

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Solution

The fourth proportional to 865.17, 1,297.17 and 431.46 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.17 : 1,297.17 = 431.46 : x
  2. Step 2: Convert to fraction form
    865.17/1,297.17 = 431.46/x
  3. Step 3: Cross multiply
    865.17x = 1,297.17 × 431.46
  4. Step 4: Simplify right side
    865.17x = 559,676.97
  5. Step 5: Solve for x
    x = 559,676.97/865.17
  6. Step 6: Final answer
    x = 646.90

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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.