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Finding the Fourth Proportional to 937.72, 1,295.14 and 716.18

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Solution

The fourth proportional to 937.72, 1,295.14 and 716.18 is: 989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.72 : 1,295.14 = 716.18 : x
  2. Step 2: Convert to fraction form
    937.72/1,295.14 = 716.18/x
  3. Step 3: Cross multiply
    937.72x = 1,295.14 × 716.18
  4. Step 4: Simplify right side
    937.72x = 927,553.37
  5. Step 5: Solve for x
    x = 927,553.37/937.72
  6. Step 6: Final answer
    x = 989.16

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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.