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Finding the Fourth Proportional to 655.19, 902.37 and 489.11

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Solution

The fourth proportional to 655.19, 902.37 and 489.11 is: 673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.19 : 902.37 = 489.11 : x
  2. Step 2: Convert to fraction form
    655.19/902.37 = 489.11/x
  3. Step 3: Cross multiply
    655.19x = 902.37 × 489.11
  4. Step 4: Simplify right side
    655.19x = 441,359.00
  5. Step 5: Solve for x
    x = 441,359.00/655.19
  6. Step 6: Final answer
    x = 673.64

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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.