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Finding the Fourth Proportional to 985.27, 1,349.81 and 948.34

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Solution

The fourth proportional to 985.27, 1,349.81 and 948.34 is: 1,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.27 : 1,349.81 = 948.34 : x
  2. Step 2: Convert to fraction form
    985.27/1,349.81 = 948.34/x
  3. Step 3: Cross multiply
    985.27x = 1,349.81 × 948.34
  4. Step 4: Simplify right side
    985.27x = 1,280,067.32
  5. Step 5: Solve for x
    x = 1,280,067.32/985.27
  6. Step 6: Final answer
    x = 1,299.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.