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Finding the Fourth Proportional to 865.64, 1,297.64 and 317.68

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Solution

The fourth proportional to 865.64, 1,297.64 and 317.68 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.64 : 1,297.64 = 317.68 : x
  2. Step 2: Convert to fraction form
    865.64/1,297.64 = 317.68/x
  3. Step 3: Cross multiply
    865.64x = 1,297.64 × 317.68
  4. Step 4: Simplify right side
    865.64x = 412,231.83
  5. Step 5: Solve for x
    x = 412,231.83/865.64
  6. Step 6: Final answer
    x = 476.21

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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.