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Finding the Fourth Proportional to 865.52, 1,297.12 and 317.18

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Solution

The fourth proportional to 865.52, 1,297.12 and 317.18 is: 475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.52 : 1,297.12 = 317.18 : x
  2. Step 2: Convert to fraction form
    865.52/1,297.12 = 317.18/x
  3. Step 3: Cross multiply
    865.52x = 1,297.12 × 317.18
  4. Step 4: Simplify right side
    865.52x = 411,420.52
  5. Step 5: Solve for x
    x = 411,420.52/865.52
  6. Step 6: Final answer
    x = 475.34

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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.