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Finding the Fourth Proportional to 865.08, 1,297.64 and 317.12

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Solution

The fourth proportional to 865.08, 1,297.64 and 317.12 is: 475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.08 : 1,297.64 = 317.12 : x
  2. Step 2: Convert to fraction form
    865.08/1,297.64 = 317.12/x
  3. Step 3: Cross multiply
    865.08x = 1,297.64 × 317.12
  4. Step 4: Simplify right side
    865.08x = 411,507.60
  5. Step 5: Solve for x
    x = 411,507.60/865.08
  6. Step 6: Final answer
    x = 475.69

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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.