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Finding the Fourth Proportional to 981.33, 1,462.16 and 919.77

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Solution

The fourth proportional to 981.33, 1,462.16 and 919.77 is: 1,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.33 : 1,462.16 = 919.77 : x
  2. Step 2: Convert to fraction form
    981.33/1,462.16 = 919.77/x
  3. Step 3: Cross multiply
    981.33x = 1,462.16 × 919.77
  4. Step 4: Simplify right side
    981.33x = 1,344,846.30
  5. Step 5: Solve for x
    x = 1,344,846.30/981.33
  6. Step 6: Final answer
    x = 1,370.43

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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.