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Finding the Fourth Proportional to 654.82, 981.21 and 380.23

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Solution

The fourth proportional to 654.82, 981.21 and 380.23 is: 569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.82 : 981.21 = 380.23 : x
  2. Step 2: Convert to fraction form
    654.82/981.21 = 380.23/x
  3. Step 3: Cross multiply
    654.82x = 981.21 × 380.23
  4. Step 4: Simplify right side
    654.82x = 373,085.48
  5. Step 5: Solve for x
    x = 373,085.48/654.82
  6. Step 6: Final answer
    x = 569.75

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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.