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Finding the Fourth Proportional to 655.37, 902.88 and 489.27

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Solution

The fourth proportional to 655.37, 902.88 and 489.27 is: 674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.37 : 902.88 = 489.27 : x
  2. Step 2: Convert to fraction form
    655.37/902.88 = 489.27/x
  3. Step 3: Cross multiply
    655.37x = 902.88 × 489.27
  4. Step 4: Simplify right side
    655.37x = 441,752.10
  5. Step 5: Solve for x
    x = 441,752.10/655.37
  6. Step 6: Final answer
    x = 674.06

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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.