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Finding the Fourth Proportional to 865.77, 1,297.90 and 317.83

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Solution

The fourth proportional to 865.77, 1,297.90 and 317.83 is: 476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.77 : 1,297.90 = 317.83 : x
  2. Step 2: Convert to fraction form
    865.77/1,297.90 = 317.83/x
  3. Step 3: Cross multiply
    865.77x = 1,297.90 × 317.83
  4. Step 4: Simplify right side
    865.77x = 412,511.56
  5. Step 5: Solve for x
    x = 412,511.56/865.77
  6. Step 6: Final answer
    x = 476.47

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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.