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Finding the Fourth Proportional to 664.30, 992.58 and 584.11

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Solution

The fourth proportional to 664.30, 992.58 and 584.11 is: 872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.30 : 992.58 = 584.11 : x
  2. Step 2: Convert to fraction form
    664.30/992.58 = 584.11/x
  3. Step 3: Cross multiply
    664.30x = 992.58 × 584.11
  4. Step 4: Simplify right side
    664.30x = 579,776.60
  5. Step 5: Solve for x
    x = 579,776.60/664.30
  6. Step 6: Final answer
    x = 872.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.