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Finding the Fourth Proportional to 786.49, 1,084.91 and 487.60

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Solution

The fourth proportional to 786.49, 1,084.91 and 487.60 is: 672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.49 : 1,084.91 = 487.60 : x
  2. Step 2: Convert to fraction form
    786.49/1,084.91 = 487.60/x
  3. Step 3: Cross multiply
    786.49x = 1,084.91 × 487.60
  4. Step 4: Simplify right side
    786.49x = 529,005.44
  5. Step 5: Solve for x
    x = 529,005.44/786.49
  6. Step 6: Final answer
    x = 672.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.