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Finding the Fourth Proportional to 865.03, 1,297.57 and 317.27

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Solution

The fourth proportional to 865.03, 1,297.57 and 317.27 is: 475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.03 : 1,297.57 = 317.27 : x
  2. Step 2: Convert to fraction form
    865.03/1,297.57 = 317.27/x
  3. Step 3: Cross multiply
    865.03x = 1,297.57 × 317.27
  4. Step 4: Simplify right side
    865.03x = 411,675.78
  5. Step 5: Solve for x
    x = 411,675.78/865.03
  6. Step 6: Final answer
    x = 475.91

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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.