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Finding the Fourth Proportional to 654.94, 903.90 and 389.44

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Solution

The fourth proportional to 654.94, 903.90 and 389.44 is: 537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.94 : 903.90 = 389.44 : x
  2. Step 2: Convert to fraction form
    654.94/903.90 = 389.44/x
  3. Step 3: Cross multiply
    654.94x = 903.90 × 389.44
  4. Step 4: Simplify right side
    654.94x = 352,014.82
  5. Step 5: Solve for x
    x = 352,014.82/654.94
  6. Step 6: Final answer
    x = 537.48

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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.