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Finding the Fourth Proportional to 985.40, 1,469.79 and 956.22

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Solution

The fourth proportional to 985.40, 1,469.79 and 956.22 is: 1,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.40 : 1,469.79 = 956.22 : x
  2. Step 2: Convert to fraction form
    985.40/1,469.79 = 956.22/x
  3. Step 3: Cross multiply
    985.40x = 1,469.79 × 956.22
  4. Step 4: Simplify right side
    985.40x = 1,405,442.59
  5. Step 5: Solve for x
    x = 1,405,442.59/985.40
  6. Step 6: Final answer
    x = 1,426.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.