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Finding the Fourth Proportional to 654.85, 903.39 and 392.41

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Solution

The fourth proportional to 654.85, 903.39 and 392.41 is: 541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.85 : 903.39 = 392.41 : x
  2. Step 2: Convert to fraction form
    654.85/903.39 = 392.41/x
  3. Step 3: Cross multiply
    654.85x = 903.39 × 392.41
  4. Step 4: Simplify right side
    654.85x = 354,499.27
  5. Step 5: Solve for x
    x = 354,499.27/654.85
  6. Step 6: Final answer
    x = 541.34

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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.