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Finding the Fourth Proportional to 654.91, 981.35 and 381.13

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Solution

The fourth proportional to 654.91, 981.35 and 381.13 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 981.35 = 381.13 : x
  2. Step 2: Convert to fraction form
    654.91/981.35 = 381.13/x
  3. Step 3: Cross multiply
    654.91x = 981.35 × 381.13
  4. Step 4: Simplify right side
    654.91x = 374,015.11
  5. Step 5: Solve for x
    x = 374,015.11/654.91
  6. Step 6: Final answer
    x = 571.10

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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.