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Finding the Fourth Proportional to 798.14, 1,100.47 and 687.42

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Solution

The fourth proportional to 798.14, 1,100.47 and 687.42 is: 947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.14 : 1,100.47 = 687.42 : x
  2. Step 2: Convert to fraction form
    798.14/1,100.47 = 687.42/x
  3. Step 3: Cross multiply
    798.14x = 1,100.47 × 687.42
  4. Step 4: Simplify right side
    798.14x = 756,485.09
  5. Step 5: Solve for x
    x = 756,485.09/798.14
  6. Step 6: Final answer
    x = 947.81

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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.