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Finding the Fourth Proportional to 654.50, 902.67 and 392.06

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Solution

The fourth proportional to 654.50, 902.67 and 392.06 is: 540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.50 : 902.67 = 392.06 : x
  2. Step 2: Convert to fraction form
    654.50/902.67 = 392.06/x
  3. Step 3: Cross multiply
    654.50x = 902.67 × 392.06
  4. Step 4: Simplify right side
    654.50x = 353,900.80
  5. Step 5: Solve for x
    x = 353,900.80/654.50
  6. Step 6: Final answer
    x = 540.72

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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.