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Finding the Fourth Proportional to 786.94, 1,086.05 and 437.63

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Solution

The fourth proportional to 786.94, 1,086.05 and 437.63 is: 603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.94 : 1,086.05 = 437.63 : x
  2. Step 2: Convert to fraction form
    786.94/1,086.05 = 437.63/x
  3. Step 3: Cross multiply
    786.94x = 1,086.05 × 437.63
  4. Step 4: Simplify right side
    786.94x = 475,283.73
  5. Step 5: Solve for x
    x = 475,283.73/786.94
  6. Step 6: Final answer
    x = 603.97

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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.