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Finding the Fourth Proportional to 664.26, 917.10 and 489.30

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Solution

The fourth proportional to 664.26, 917.10 and 489.30 is: 675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 917.10 = 489.30 : x
  2. Step 2: Convert to fraction form
    664.26/917.10 = 489.30/x
  3. Step 3: Cross multiply
    664.26x = 917.10 × 489.30
  4. Step 4: Simplify right side
    664.26x = 448,737.03
  5. Step 5: Solve for x
    x = 448,737.03/664.26
  6. Step 6: Final answer
    x = 675.54

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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.