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Finding the Fourth Proportional to 654.62, 981.75 and 423.33

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Solution

The fourth proportional to 654.62, 981.75 and 423.33 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.62 : 981.75 = 423.33 : x
  2. Step 2: Convert to fraction form
    654.62/981.75 = 423.33/x
  3. Step 3: Cross multiply
    654.62x = 981.75 × 423.33
  4. Step 4: Simplify right side
    654.62x = 415,602.13
  5. Step 5: Solve for x
    x = 415,602.13/654.62
  6. Step 6: Final answer
    x = 634.88

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