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Finding the Fourth Proportional to 664.94, 912.73 and 589.61

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Solution

The fourth proportional to 664.94, 912.73 and 589.61 is: 809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.94 : 912.73 = 589.61 : x
  2. Step 2: Convert to fraction form
    664.94/912.73 = 589.61/x
  3. Step 3: Cross multiply
    664.94x = 912.73 × 589.61
  4. Step 4: Simplify right side
    664.94x = 538,150.91
  5. Step 5: Solve for x
    x = 538,150.91/664.94
  6. Step 6: Final answer
    x = 809.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.