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Finding the Fourth Proportional to 981.40, 1,469.94 and 958.18

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Solution

The fourth proportional to 981.40, 1,469.94 and 958.18 is: 1,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.40 : 1,469.94 = 958.18 : x
  2. Step 2: Convert to fraction form
    981.40/1,469.94 = 958.18/x
  3. Step 3: Cross multiply
    981.40x = 1,469.94 × 958.18
  4. Step 4: Simplify right side
    981.40x = 1,408,467.11
  5. Step 5: Solve for x
    x = 1,408,467.11/981.40
  6. Step 6: Final answer
    x = 1,435.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.