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Finding the Fourth Proportional to 655.24, 904.26 and 489.90

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Solution

The fourth proportional to 655.24, 904.26 and 489.90 is: 676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.24 : 904.26 = 489.90 : x
  2. Step 2: Convert to fraction form
    655.24/904.26 = 489.90/x
  3. Step 3: Cross multiply
    655.24x = 904.26 × 489.90
  4. Step 4: Simplify right side
    655.24x = 442,996.97
  5. Step 5: Solve for x
    x = 442,996.97/655.24
  6. Step 6: Final answer
    x = 676.08

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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.