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Finding the Fourth Proportional to 654.39, 903.21 and 374.78

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Solution

The fourth proportional to 654.39, 903.21 and 374.78 is: 517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.39 : 903.21 = 374.78 : x
  2. Step 2: Convert to fraction form
    654.39/903.21 = 374.78/x
  3. Step 3: Cross multiply
    654.39x = 903.21 × 374.78
  4. Step 4: Simplify right side
    654.39x = 338,506.36
  5. Step 5: Solve for x
    x = 338,506.36/654.39
  6. Step 6: Final answer
    x = 517.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.