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Finding the Fourth Proportional to 654.50, 902.41 and 514.18

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Solution

The fourth proportional to 654.50, 902.41 and 514.18 is: 708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.50 : 902.41 = 514.18 : x
  2. Step 2: Convert to fraction form
    654.50/902.41 = 514.18/x
  3. Step 3: Cross multiply
    654.50x = 902.41 × 514.18
  4. Step 4: Simplify right side
    654.50x = 464,001.17
  5. Step 5: Solve for x
    x = 464,001.17/654.50
  6. Step 6: Final answer
    x = 708.94

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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.