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Finding the Fourth Proportional to 655.02, 902.53 and 489.14

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Solution

The fourth proportional to 655.02, 902.53 and 489.14 is: 673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 902.53 = 489.14 : x
  2. Step 2: Convert to fraction form
    655.02/902.53 = 489.14/x
  3. Step 3: Cross multiply
    655.02x = 902.53 × 489.14
  4. Step 4: Simplify right side
    655.02x = 441,463.52
  5. Step 5: Solve for x
    x = 441,463.52/655.02
  6. Step 6: Final answer
    x = 673.97

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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.