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Finding the Fourth Proportional to 865.17, 1,297.86 and 317.61

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Solution

The fourth proportional to 865.17, 1,297.86 and 317.61 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.17 : 1,297.86 = 317.61 : x
  2. Step 2: Convert to fraction form
    865.17/1,297.86 = 317.61/x
  3. Step 3: Cross multiply
    865.17x = 1,297.86 × 317.61
  4. Step 4: Simplify right side
    865.17x = 412,213.31
  5. Step 5: Solve for x
    x = 412,213.31/865.17
  6. Step 6: Final answer
    x = 476.45

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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.